Q1:Â Â Find the final angular velocity if a grinding wheel starts from rest and accelerates at 2...

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Q1:Â Â Find the final angular velocity if a grindingwheel starts from rest and accelerates at 2 rad/s^2.

Q2:Â Â If the grinding wheel has a mass of 60kg:
a) Find its rotational inertia.
b) Find the torque that produces the acceleration.
c) Find angular momentum at the instant it has rotated for8s.

I am pretty much lost. Any help will be greatlyappreciated.

Answer & Explanation Solved by verified expert

4.0 Ratings (629 Votes)

Q1) wo = initial angular velocity = 0

Â Â Â Â Â a = angular acceleration = 2 rad/s^2

Â Â Â Â Â w = final angular velocity

Â Â Â

Using fromula , W = wo +at = 2*t

Q2) M = mass = 60 kg

Â Â Â Â Â Â Â Â Â

a) I = rotatinal inertia = MR^2/2Â Â , Â Â where R = radius

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 30R^2

b) T = trouqe = I*a = (MR^2/2 )*2

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = MR^2

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 60 R2

c) at t= 8s , w = 2t = 2*8 = 16 rad/s

Â Â Â Â angular mometum = I*w = (MR^2/2)*16Â Â = 8MR^2 = 480R^2

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Q1:Â Â Find the final angular velocity if a grinding wheel starts from rest and accelerates at 2...

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Physics

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