Home
Class 11
PHYSICS
A wheel of radius 10 cm can rotate freel...

A wheel of radius 10 cm can rotate freely about its centre as shown in figure. A string is wrapped over its rim and is pulled by a force of 5.0 N. It is found that the torque produces an angular acceleration 2.0 `rad s^-2` in the wheel. Calculate the moment of inertia of the wheel.

A

`0.25 "kg-m"^(2)`

B

`0.45 "kg-m"^(2)`

C

`0.15 "kg-m"^(2)`

D

`0.16 "kg-m"^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Torque, `tau=I alpha`, Moment of inertia of wheel, `I = (tau)/(alpha)`
Moment of inertia of wheel,
`I=(5xx10xx10^(-2))/(2)"kg-m"^(2)=0.25 "kg-m"^(2)`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ROTATION

    DC PANDEY ENGLISH|Exercise (B) Chapter Exercises|25 Videos

  • RAY OPTICS

    DC PANDEY ENGLISH|Exercise Integer type q.|14 Videos

  • ROTATIONAL MECHANICS

    DC PANDEY ENGLISH|Exercise Subjective Questions|2 Videos

Similar Questions

Explore conceptually related problems

A wheel of radius 0.4m can rotate freely about its axis as shown in the figure. A string is wrapped over its rim and a mass of 4 kg is hung. An angular acceleration of 8 rad//s^(2) is produced in it due to the torque. Then, the moment of inertia of the wheel is ( g=10m//s^(2) )

A wheel of radius 20 cm and moment of inertia 1 kgm^2 can rotate about its centre.A string is wrapped over its rim and is pulled by a force 'F' tangential to the rim of wheel.If angular acceleration produced is 2 rad/s^2 then the value of force 'F' is

A wheel of moment of inertia I and radius r is free to rotate about its centre as shown in figure. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The system is released from rest. Find the speed of the block as it descends through a height h.

A flywheel of moment of inertia 0.4 kg m^(2) and radius 0.2 m is free to rotate about a central axis. If a string is wrapped around it and it is pulled with a force of 10N. Then its angular velocity after 4s will be

A uniform circular disc of radius 50 cm at rest is free to turn about an axis which is perpendicular to its plane and passes through its centre. It is subjected to a torque which produces a constant angular acceleration of 2 rad s^(-1) . Its net acceleration in ms^(-2) at the end of 2 s is approximately

Compute the angular acceleration of a wheel having moment of inertia 20kgm^(2) , when a torque of 10Nm is applied on the wheel.

Compute the angular acceleration of a wheel having moment of inertia 20kgm^(2) , when a torque of 10Nm is applied on the wheel.

A wheel of mass 1.4 kg and radius 0.4 m is mounted on a frictionless, horizontal axle as shown in Fig. 7.2.50. Alight string wrapped around the rim supports a mass of 2 kg. What is the angular acceleration of the wheel and the tangential acceleration of a point on the rim ? Also find the tension in the string.

A fly wheel of 0.4 kg(m^-2) M.Iand of 0.2 m radius can rotate about its axis.A rope is wrapped around its circumference and pulled with 10 N force. The value of angular acceleration in rad/sec^2 will be?

A fly wheel is rotating at a speed of 160 r.p.m. whose weight is 20 kg and its centre of mass at a distance of 0.01 m from the axis of rotation. Calculate : moment of inertial of the fly wheel.

Home
Profile