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Question

Physics Question on Motion in a straight line

The rotor�s velocity of a helicopter engine changes from 330rev/min330 \,rev/min to 110rev/min110 \,rev/min in 2 minutes. How long does the rotor blades take to stop?

A

3min3 \,min

B

4min4 \,min

C

5min5 \,min

D

6min6 \,min

Answer

3min3 \,min

Explanation

Solution

Acceleration of helicopter blades α=ω2ω1t\alpha = \frac{\omega_2 - \omega_1}{t} α=3301102\alpha = \frac{330-110}{2} =110rev/min2 = 110\,rev/min^2 Final angular velocity of blades will be zero i. e., ω=0\omega = 0 From equation of rotational motion ω=ωαt\omega = \omega - \alpha t 0=330110×t0 = 330 -110 \times t t=3mint = 3 \,min