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Rashid [163]
3 years ago
12

A disk is free to rotate about an axis perpendicular to the disk through its center. If the disk starts from rest and accelerate

s uniformly at the rate of 2 radians/S2 for 4 s, its angular displacement during this time is
(A) 6 radians
(B) 12 radians
(C) 16 radians
(D) 24 radians
(E) 48 radians
Physics
1 answer:
garri49 [273]3 years ago
3 0

Answer:

(C) 16 radians

Explanation:

The angular displacement is given by the following equation:

\Delta \theta=\omega_i t+\frac{1}{2}\alpha t^2

Here

\Delta \theta Is the angular displacement of the body at the indicated time (t).

\omega_i Is the angular velocity of the body at the initial moment.

\alpha Is the angular acceleration of the body.

The disk starts from rest, so \omega_i=0

Replacing the given values:

\Delta \theta=\frac{1}{2}(2\frac{radians}{s^2})(4s)^2\\\Delta \theta=16 radians

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