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May I please get help with that question... a and b in both. Its tricky reasonin

ID: 1998103 • Letter: M

Question

May I please get help with that question... a and b in both. Its tricky reasoning questions so more details would help.. thanks A body moves in a circle with constant angular velocity. (a) Does it have a non-zero tangential acceleration? Is its magnitude constant? Is its direction constant? (b) Does it have a non-zero radial acceleration? Is its magnitude constant? Is its direction constant? A body moves in a circle with constant angular acceleration. (a) Does it have a non tangential acceleration? Is its magnitude constant? Is its direction constant? (b) Does it have a non-zero radial acceleration? Is its magnitude constant? Is its direction constant?

Explanation / Answer

Here ,

a)

for a body moving with constant angular velocity

the angular acceleration will be zero that means tangential acceleraetion is zero.

tangential acceleraetion = angular acceleration * radius

hence , the tanegential acceleration is Zero.

b) as the radial acceleration is given as

radial acceleration = w^2 * r

w is the angular speed

hence , the radial acceleration is non zero.

it's magnitude is constant. the direction keeps changing

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for a body with constant angular acceleration
a)

the angular acceleration is non zero that means tangential acceleraetion is non zero

tangential acceleraetion = angular acceleration * radius

hence , the tanegential acceleration is non zero.

the magnitude is constant.

the direction keeps changing

b) as the radial acceleration is given as

radial acceleration = w^2 * r

w is the angular speed

hence , the radial acceleration is non zero.

it's magnitude is changing as the angular velocity is changing. the direction keeps changing