Home
Class 11
PHYSICS
A wheel initially at rest, is rotated wi...

A wheel initially at rest, is rotated with a uniform angular acceleration. The wheel rotates through an angle` theta_(1)` in first one second and through an additional angle `theta_(2)` in the next one second. The ratio `theta_(2)//theta_(1)` is :

A

4

B

2

C

3

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Angular displacement in first one second `theta_(1)=(1)/(2)alpha(1)^(2)=(alpha)/(2) " "` ......(i) `" "` [From `theta=omega_(1)t+(1)/(2)alpha t^(2)`]
Now again we will consider motion from the rest and angular displacement in total two seconds
`theta_(1)+theta_(2)=(1)/(2)alpha(2)^(2)=2alpha " "` .....(ii)
Solving (i) and (ii) we get `theta_(1)=(alpha)/(2)` and `theta_(2)=(3alpha)/(2) " " therefore (theta_(2))/(theta_(1))=3`.
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    ERRORLESS |Exercise Practice Problems (Problems based on centre of mass)|12 Videos

  • ROTATIONAL MOTION

    ERRORLESS |Exercise Practice Problems (Problems based on angular displacement, velocity and acceleration)|16 Videos

  • NEWTONS LAWS OF MOTION

    ERRORLESS |Exercise Self Evaluation Test|16 Videos

  • SIMPLE HARMONIC MOTION

    ERRORLESS |Exercise simple Harmonic Motion|21 Videos

Similar Questions

Explore conceptually related problems

A wheel initially at rest, is rotated with a uniform angular acceleration. The wheel rotates through an angle theta_(1) in the first one second and through an additional angle theta_(2) in the next one second. The ratio theta_(1)//theta_(2) is:

A wheel starts from rest and rotates with a constant angular acceleration. It rotates by angle theta_(1) in first second and by theta_(2) in another second. Then the ratio theta_(2)//theta_(1) is

A disc initially at rest , is rotated about its axis with uniform angular acceleration . In the first 2 s, it rotates an angle theta . In the next 2s, the disc rotates through an angle

A car wheel is rotated to uniform angular acceleration about its axis. Initially its angular velocity is zero. It rotates through an angle theta_(1) in the first 2 s. In the next 2 s, it rotates through an additional angle theta_(2) , the ratio of (theta_(2))/(theta_(1)) is

A wheel is subjected to uniform angular acceleration about its axis with its angular velocity is zero . In the first two seconds , it rotates through an angle theta _(1) and in the next two seconds , it rotates through an angle theta _(2) then the ratio of theta_(2)//theta_(1)

A wheel of a vehicle is rotated to a uniform angular acceleration about its axis. Initially its angular velocity is zero. It rotates through an angle theta_1 in the first 2 s and in the next 3 s, it rotates through an additional angle theta_2 . The ratio of theta_2/theta_1 is

A car wheel is rotated to uniform angular acceleration about its axis, intially its angular velocity is zero .It rotates through an angle theta_1 in the first 2 s , in the next 2 s, it rotates through an additional angle theta_2 ,the ratio of theta_2/theta_1 is

A wheel starting from rest,rotates with a uniform angular acceleration of 2rad/s^(2) .Then the number of rotations it performs in tenth second is

A wheel which is initially at rest is subjected to a constant angular acceleration about its axis. It rotates through an angle of 15^@ in time t sec. Then how much it rotates in the next 2t sec