AP EAMCET202125 Aug 2021Evening ShiftPhysicsRotational MotionActual

A wheel is rotating at 480 rpm. Find the magnitude of angular acceleration required to stop the wheel in 8 s.

Options

A2 rad s ⁻²
B2.5 rad s ⁻²
C2 rad s ⁻²
D3.5 rad s ⁻²

Correct answer

A. 2 rad s ⁻²

Step-by-step solution

Given, initial angular speed, _i=480 rpm = 480 60 =8 rps =8 2 =16 rad s ⁻¹ Time, t = 8s Final angular speed, _f=0 From first equation of motion, array rlrl _f & = _i+ t & _f- _i t & = = 0-16 8 & & =-2 rad s ⁻² array Therefore, magnitude of angular acceleration, | |=2 rads ⁻²

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