A rotating platform of radius r = 2.7 cm starts from rest and accelerates with uniform angular acceleration α = 38 rad/s2. randomized variables r = 2.7 cm α = 38 rad/s2 33% part (a) write an expression that gives the centripetal acceleration on the edge of the platform as a function of time, ac (t).

Question

Lee Mcdonald

Physics

12 December, 07:10

A rotating platform of radius r = 2.7 cm starts from rest and accelerates with uniform angular acceleration α = 38 rad/s2. randomized variables r = 2.7 cm α = 38 rad/s2 33% part (a) write an expression that gives the centripetal acceleration on the edge of the platform as a function of time, ac (t).

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June Sellers · Answer 1

r = radius

α = angular acceleration

t = time

w₀ = initial angular velocity = 0 rad/s

w (t) = angular velocity at any time "t"

Angular velocity at any time is given as

w (t) = w₀ + α t

w (t) = α t since w₀ = 0

w (t) = α t eq-1

centripetal acceleration at any time is given as

a (t) = r w² (t)

using eq-1

a (t) = r (α t) ²

a (t) = r α² t²