Home
Class 11
PHYSICS
The wheel of a motor, accelerated unifor...

The wheel of a motor, accelerated uniformly from rest, rotates through 2.5 radian during the first second. Find the angle rotated during the next second.

Text Solution

Verified by Experts

As the angular acceleration is constant, we have
`theta=omega_0t+1/2alphat^2=1/2alphat^2`.
`Thus `2.5rad=1/2alpha(1s)^2`
`alpha=5rad/s^2`
or `alpha=5rad/s^2`
the angle rotated during the first two seconds is
`=1/2xx(5rad/s^2)(2s)62=10rad`.
Thus the angle rotated during the 2nd second is
`10rad-2.5rad=7.5rad.`
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle experiences a constant acceleration for 20 sec after starting from rest. If it travels distance S_1 in the first 10 sec and a distance S_2 in the next 10 sec, Then

A rocket fired from the earth's surface ejects 1% of its mass at a speed of 2000 ms^(-1) in the first second. Find the average acceleration of the rocket in the first second.

A wheel starting from rest is uniformly accelerated at 2 {rad}/s^(2) for 20 seconds. It is allowed to rotate uniformly for the next 10 seconds and is finally brought to rest in next 20 seconds. The total angle rotated by the wheel (in radian) is :-

A disc rotating about its axis, from rest it acquires a angular speed 100rev/s in 4 second. The angle rotated by it during these four seconds (in radian) is

A particle performs SHM in a straight line. In the first second, starting from rest, it travels a distance a and in the next second it travels a distance b in the same direction. The amplitude of the SHM is

A three wheeler starts from rest, accelerates uniformly with 1 ms-2 on a straight road for 10 s and then moves with uniform velocity. Plot the distance covered by the vehicle during the nth second (n = 1, 2, 3, ...) versus n. What do you expect this plot to be during accelerated motion : a straight line or a parabola ?

A particle travels first half of the total time with speed v_1 and second half time with speed v_2. Find the average speed during the complete journey.

A particle starts with an initial velocity 2.5 m//s along the posiive x-direction and it accelerates uniformly at the rate 0.50 m//s^2. Find the distance travelled by it in the first two seconds

A stone falls freely under gravity. It covered distances h_1, h_2 and h_3 in the first 5 seconds. The next 5 seconds and the next 5 seconds respectively. The relation between h_1, h_2 and h_3 is :

A mass m=1 kg hangs from the wheel of radius R=1 m .When released from rest the mass falls through a height h= 2 m in 1 second.The moment of inertia of the wheel is [g=10 m/ s^ 2 ]