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A bicycle wheel of radius r = 1.5 m starts from rest and rolls 100 m without slipping in 30 s. Calculate
(a) The number of revolutions the wheel makes,
(b) The number of radians through which it turns,
(c) The average angular velocity.
A car wheel is being tested for balance. It is spinning at 750 rpm and the machine then accelerates it to 1500 rpm over a period of 3 s. What is the angular acceleration.
Explain that the moment of inertia is rotational analogue of the mass.
A skater spins in the counterclockwise direction, as seen from above. In what direction does the vector representing the angular momentum of the skater point.
The moment of inertia of a straight wire about its perpendicular bisector and the moment of inertia of a circular frame about its perpendicular central axis are I₁ and I₂ respectively.
A ball with moment of inertia of 1.6, mass of 4 kg and radius of 1 m rolls without slipping down an incline which is 10 meters high. What is the speed of the ball when it reaches the bottom of the incline.
A uniform cylinder of mass 5 kg and radius 0.2 m rolls smoothly over a horizontal surface in a straight line with a velocity of 2 m/s.
Find
(i) the speed of the particle situated at the top of the cylinder and
(ii) kinetic energy of the rolling cylinder.