Asmall rubber wheel drives the rotation of a larger pottery wheel by running along its edge. the small wheel radius is 1.2 cm, and it accelerates at 3 rad/s2. the pottery wheel has a radius of 36 cm. what is the angular acceleration of the pottery wheel? how long till the pottery wheel rotates at 60 rpm?

α₂= 0.1  rad/s²

t= 62.8 s

Explanation:

Given that

For small wheel

r₁= 1.2 cm

α₁ = 3 rad/s²

For large wheel

r₂= 36 cm

Angular acceleration = α₂  rad/s²

The tangential acceleration for the both wheel will be same

a = α₁ r₁=α₂ r₂

Now by putting the values in the above equation

α₁ r₁=α₂ r₂

3 x 1.2 = 36 x α₂

α₂= 0.1  rad/s²

Given that

N = 60 rpm

Angular speed in rad/s ω

ω = 6.28 rad/s

Time taken is t

ω = α₂ t

6.28 = 0.1 t

t= 62.8 s

false

explanation:

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