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10. Rotational Mechanics
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Q5 of 149 Page 195

Find the angular velocity of a body rotating with an acceleration of 2 rev/s2 as it completes the 5th revolution after the start.

Given –



Angular acceleration = 2 rev/s2


Initial angular velocity, = 0


We need to calculate angular velocity at 5th revolution-


= ?


Now we know that change in angular velocity is given by-





rev/s


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3

A wheel starting from rest is uniformly accelerated at 4 rad/s2 for 10 seconds. It is allowed to rotate uniformly for the next 10 seconds and is finally brought to rest in the next 10 seconds. Find the total angle rotated by the wheel.

4

A body rotates about a fixed axis with an angular acceleration of one radian/second/ second. Through what angle does it rotate during the time in which its angular velocity increases from 5 rad/s to 15 rad/s.

6

A disc of radius 10 cm is rotating about its axis at an angular speed of 20 rad/s, Find the linear speed of

(a) a point on the rim,


(b) the middle point of a radius.


7

A disc rotates about its axis with a constant angular acceleration of 4 rad/s2. Find the radial and tangential accelerations of a particle at a distance of 1 cm from the axis at the end of the first second after the disc starts rotating.

Questions · 149
10. Rotational Mechanics
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