Home
Class 11
PHYSICS
The moment of inertia of the body about ...

The moment of inertia of the body about an axis is 1.2 kg `m^(2)`. Initially the body is at rest. In order to produce a rotational kinetic energy of 1500J, an angualr acceleration of 25 `rad/s^(2)` must be applied about the axis for the duration of

A

2s

B

4s

C

8s

D

10 s

Text Solution

Verified by Experts

a) Rotational kinetic energy, `1/2 Iomega^(2)`
According to question, `1/2Iomega^(2)`=1500
`1/2l(alphat)^(2) = 1500 `
`(1.2) xx (25)^(2) xx t^(2) = 3000`
`1.2 xx 625 xx t^(2) = 3000`
`t^(2) = (3000/(1.2 xx 625)` = 4
`t=2s`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    BITSAT GUIDE|Exercise BITSAT Archives|9 Videos

  • NEWTONS LAWS OF MOTION AND FRICTION

    BITSAT GUIDE|Exercise BITSAT Archives|23 Videos

  • SCALARS AND VECTORS

    BITSAT GUIDE|Exercise All Questions|34 Videos

Similar Questions

Explore conceptually related problems

Moment of inertia of a body about a given axis is 1.5 kg m^(2) . Initially the body is at rest. In order to produce a rotational kinetic energy of 1200 J, the angular acceleration of 20 rad//s^(2) must be applied about the axis for a duration of _________ (in sec).

The moment of inertia of a body about a given axis is 1.2 kg m^(2) . Initially, the body is at rest. In order to produce a rotational KE of 1500 j , for how much duration, an acceleration of 25 rad s^(-2) must be applied about that axis ?

The moment of inertia of a body about a given axis is 1.2 kg m^(2) . Initially, the body is at rest. In order to produce a rotational KE of 1500 J , for how much duration, an acceleration of 25 rad s^(-2) must be applied about that axis ?

The moment of inertia of a body about a given axis is 3.6" kg m"^(2) . Initially, the body is at rest. In order to produce a rotational K.E. of 800 J, an acceleration of 15 rad s must be applied about that axis for

The moment of inertia of a body about a given axis of rotation depends upon :-

The moment of inertia of a body is 2.5 kg m^(2) . Calculate the torque required to produce an angular acceleration of 18 rad s^(-2) in the body.

The rotational kinetic energy of a rigid body of moment of inertia 5 kg-m^(2) is 10 joules. The angular momentum about the axis of rotation would be -

Moment of inertia of a body about an axis is 4kg-m^2 . The body is initially at rest and a torque of 8Nm starts acting on it along the same axis. Workdone by the torque in 20s , in joules is