Home
Class 11
PHYSICS
Find the angular velocity of a body rota...

Find the angular velocity of a body rotating with an acceleration of `2rev//s^2` as it completes the 5th revolution after the start

Text Solution

Verified by Experts

The correct Answer is:
B

`theta=5. alpha=2rev/s^2, omega_0=0, omega=?`
`omega^2=(2alphatheta)`
`rarr omega=sqrt((2xx2xx5))`
`=2sqrt5 rev/s`
`or theta=10pirad`
`alpha=4pirad/s`
`omega_0=0`
`omega=?`
`omega=sqrt(2alphatheta)`
`=(2xx4pixx10pi)`
`=4pisqrt5rad/s`
`=2sqrt5rev/s`
Promotional Banner

Similar Questions

Explore conceptually related problems

For a body in circular motion with a constant angular velocity, the magnitude of the average acceleration over a period of half a revolution is … times the magnitude of its instantaneous acceleration.

A racing car has a uniform acceleration of 4 ms ^(-2). What distance will it cover in 10 s after the start ?

Explain angular velocity and angular acceleration about fixed axis and derive the equation of rotational motion and write the analogy between the equations of linear motion and rotational motion.

If object starts moving with acceleration beta t, then what will be the velocity after 't' time ?

A trolley, while going doen an inclined plance, has an acceleration of 2 cm s ^(-2). What will be its velocity 3 s after the start ?

Find the angular velocity of A with respect to O at the instant shown in (Fig. 5.165). .

A particle executes simple harmonic motion with an angular velocity and maximum acceleration of 3.5(rad)/(sec)" and "7.5(m)/(s^2) respectively. Amplitude of the oscillation is…………..

The velocity of a particle moving with constant acceleration at an instant t_(0) is 10m//s After 5 seconds of that instant the velocity of the particle is 20m/s. The velocity at 3 second before t_(0) is:-