Physics

Mechanics

Easy

Question

$W h e n space a space p a r t i c l e space m o v e s space i n space a space u n i f o r m space c i r c u l a r space m o t i o n. space I t space h a s space$

$R a d i a l v e l o c i t y a n d r a d i a l a c c e l e r a t i o n$
$T a n g e n t i a l v e l o c i t y a n d r a d i a l a c c e l e r a t i o n$
$T a n g e n t i a l v e l o c i t y a n d \tan g e n t i a l a c c e l e r a t i o n$
$R a d i a l v e l o c i t y a n d \tan g e n t i a l a c c e l e r a t i o n$

The correct answer is: $T a n g e n t i a l space v e l o c i t y space a n d space r a d i a l space a c c e l e r a t i o n$

$T a n g e n t i a l space v e l o c i t y space a n d space r a d i a l space a c c e l e r a t i o n$
Tangential velocity and radial acceleration

$R a d i u s o f t h e c u r v e d r o a d o n n a t i o n a l h i g h w a y i s space pi squared m s to the power of negative 2 end exponent. W i d t h o f t h e r o a d i s equals v squared over r equals omega squared r T h e o u t e r e d g e o f t h e r o a d i s r a i s e d b y equals 4 pi squared n squared r equals 4 pi squared open parentheses 22 over 44 close parentheses squared cross times 1 space w i t h r e s p e c t t o i n n e r e d g e s o t h a t a c a r w i t h v e l o c i t y equals pi squared m divided by s squared space c a n p a s s s a f e o v e r i t. T h e v a l u e o f m g equals R s i n space theta i s$

PhysicsMechanics

Mechanics

Physics

$T h e space a v e r a g e space a c c e l e r a t i o n space v e c t o r space f o r space a space p a r t i c l e space h a v i n g space a space u n i f o r m space c i r c u l a r space m o t i o n space i s space$

PhysicsMechanics

Mechanics

Physics

$A b o y o n a c y c l e p e d a l s a r o u n d a c i r c l e o f 20 m e t r e s r a d i u s a t a s p e e d o f T subscript 3 equals m omega squared 3 l T h e c o m b i n e d m a s s o f t h e b o y a n d t h e c y c l e i s 90 k g. T h e a n g l e t h a t t h e c y c l e m a k e s w i t h t h e v e r t i c a l s o t h a t i t m a y n o t f a l l i s T subscript 2 minus T subscript 3 equals m omega squared 2 l$

PhysicsMechanics

Mechanics

Physics

$T w o m a s s e s T subscript 0 a n d T subscript 0 divided by 2 a r e a t t a c h e d t o a v e r t i c a l a x i s b y w e i g h t l e s s t h r e a d s o f c o m b i n e d l e n g t h 4 T subscript 0. T h e y a r e s e t i n r o t a t i o n a l m o t i o n i n a h o r i z o n t a l p l a n e a b o u t t h i s a x i s w i t h c o n s t a n t a n g u l a r v e l o c i t y 8 T subscript 0. I f t h e t e n s i o n s i n t h e t h r e a d s a r e t h e s a m e d u r i n g m o t i o n comma t h e d i s t a n c e o f T subscript 0 equals m R omega subscript 0 superscript 2 f r o m t h e a x i s i s$

PhysicsMechanics

Mechanics

Physics

$A space p a r t i c l e space m o v e s space i n space a space c i r c u l a r space o r b i t space u n d e r space t h e space a c t i o n space o f space a space c e n t r a l space a t t r a c t i v e space f o r c e space i n v e r s e l y space p r o p o r t i o n a l space t o space t h e space d i s tan c e space v. space T h e space s p e e d space o f space t h e space p a r t i c l e space i s space$

PhysicsMechanics

Mechanics

Physics

$A p a r t i c l e o f m a s s R subscript 2 i s e x e c u t i n g u n i f o r m c i r c u l a r m o t i o n o n a p a t h o f r a d i u s open parentheses R subscript 2 over R subscript 1 close parentheses squared times text If end text fraction numerator R subscript 1 over denominator R subscript 2 superscript m end fraction text end text i s space t h e m a g n i t u d e o f i t s l i n e a r m o m e n t u m. T h e r a d i a l f o r c e a c t i n g o n t h e p a r t i c l e i s$

PhysicsMechanics

Mechanics

Physics

$C r e a m space g e t s space s e p a r a t e d space o u t space o f space m i l k space w h e n space i t space i s space c h u r n e d comma space i t space i s space d u e space t o space$
Cream gets separated out of milk when it is churned, it is due to

PhysicsMechanics

Mechanics

Physics

$T h e space f o r c e space r e q u i r e d space t o space k e e p space a space b o d y space i n space u n i f o r m space c i r c u l a r space m o t i o n space i s$

PhysicsMechanics

Mechanics

Physics

$A n space e l e c t r i c space f a n space h a s space b l a d e s space o f space l e n g t h space 30 space c m space a s space m e a s u r e d space f r o m space t h e space a x i s space o f space r o t a t i o n. I f space t h e space f a n space i s space r o t a t i n g space a t space 1200 space r. p. m. space T h e space a c c e l e r a t i o n space o f space a space p o i n t space o n space t h e space t i p space o f space t h e space b l a d e space i s space a b o u t space$

PhysicsMechanics

Mechanics

Physics

$A space p a r t i c l e space m o v e s space i n space a space c i r c l e space o f space r a d i u s space 25 space c m space a t space t w o space r e v o l u t i o n s space p e r space s e c o n d. space T h e space a c c e l e r a t i o n space o f space t h e space p a r t i c l e space i n space square root of 2 cross times 31.4 m divided by s space i s$

PhysicsMechanics

Mechanics

Physics

$T h e space l e n g t h space o f space s e c o n d apostrophe s space h a n d space i n space a space w a t c h space i s space 1 space c m. space T h e space c h a n g e space i n space v e l o c i t y space o f space i t s space t i p space i n space 15 space s e c o n d s space i s space$

PhysicsMechanics

Mechanics

Physics

$A space p a r t i c l e space r e v o l v e s space r o u n d space a space c i r c u l a r space p a t h. space T h e space a c c e l e r a t i o n space o f space t h e space p a r t i c l e space i s space$

PhysicsMechanics

Mechanics

Physics

$C e r t a i n n e u t r o n s t a r s a r e b e l i e v e d t o b e r o t a t i n g a t a b o u t a subscript t not equal to 0. I f s u c h a s t a r h a s a r a d i u s o f 20 k m comma t h e space a c c e l e r a t i o n space o f space a n o b j e c t o n t h e e q u a t o r o f t h e s t a r w i l l b e$

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Mechanics

Physics

$A space r o a d space i s space 10 space m space w i d e. space I t s space r a d i u s space o f space c u r v a t u r e space i s space 50 space m. space T h e space o u t e r space e d g e space i s space a b o v e space t h e space l o w e r space e d g e space b y space a space d i s tan c e space o f space 1.5 m. space space T h i s space r o a d space i s space m o s t space s u i t e d space f o r space t h e space v e l o c i t y space$

PhysicsMechanics

Mechanics

Physics

$A space m a s s space o f space 100 space g m space i s space t i e d space t o space o n e space e n d space o f space a space s t r i n g space 2 space m space l o n g. space T h e space b o d y space i s space r e v o l v i n g space i n space a space h o r i z o n t a l space c i r c l e space m a k i n g space a space m a x i m u m space o f space 200 space r e v o l u t i o n s space p e r space m i n. space T h e space o t h e r space e n d space o f space t h e space s t r i n g space i s space f i x e d space a t space t h e space c e n t r e space o f space t h e space c i r c l e space o f space r e v o l u t i o n. space T h e space m a x i m u m space t e n s i o n space t h a t space space t h e space s t r i n g space c a n space b e a r space i s space left parenthesis a p p r o x i m a t e l y right parenthesis space$

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$W h e n space a space p a r t i c l e space m o v e s space i n space a space u n i f o r m space c i r c u l a r space m o t i o n. space I t space h a s space$

The correct answer is: $T a n g e n t i a l space v e l o c i t y space a n d space r a d i a l space a c c e l e r a t i o n$

$T a n g e n t i a l space v e l o c i t y space a n d space r a d i a l space a c c e l e r a t i o n$
Tangential velocity and radial acceleration

Related Questions to study

$T h e space a v e r a g e space a c c e l e r a t i o n space v e c t o r space f o r space a space p a r t i c l e space h a v i n g space a space u n i f o r m space c i r c u l a r space m o t i o n space i s space$

$T h e space a v e r a g e space a c c e l e r a t i o n space v e c t o r space f o r space a space p a r t i c l e space h a v i n g space a space u n i f o r m space c i r c u l a r space m o t i o n space i s space$

$C r e a m space g e t s space s e p a r a t e d space o u t space o f space m i l k space w h e n space i t space i s space c h u r n e d comma space i t space i s space d u e space t o space$
Cream gets separated out of milk when it is churned, it is due to

$C r e a m space g e t s space s e p a r a t e d space o u t space o f space m i l k space w h e n space i t space i s space c h u r n e d comma space i t space i s space d u e space t o space$
Cream gets separated out of milk when it is churned, it is due to

$T h e space f o r c e space r e q u i r e d space t o space k e e p space a space b o d y space i n space u n i f o r m space c i r c u l a r space m o t i o n space i s$

$T h e space f o r c e space r e q u i r e d space t o space k e e p space a space b o d y space i n space u n i f o r m space c i r c u l a r space m o t i o n space i s$

$T h e space l e n g t h space o f space s e c o n d apostrophe s space h a n d space i n space a space w a t c h space i s space 1 space c m. space T h e space c h a n g e space i n space v e l o c i t y space o f space i t s space t i p space i n space 15 space s e c o n d s space i s space$

$T h e space l e n g t h space o f space s e c o n d apostrophe s space h a n d space i n space a space w a t c h space i s space 1 space c m. space T h e space c h a n g e space i n space v e l o c i t y space o f space i t s space t i p space i n space 15 space s e c o n d s space i s space$

$A space p a r t i c l e space r e v o l v e s space r o u n d space a space c i r c u l a r space p a t h. space T h e space a c c e l e r a t i o n space o f space t h e space p a r t i c l e space i s space$

$A space p a r t i c l e space r e v o l v e s space r o u n d space a space c i r c u l a r space p a t h. space T h e space a c c e l e r a t i o n space o f space t h e space p a r t i c l e space i s space$

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