The angular velocity of a particle rotating in a circular orbit 100 times per minute is

A body of mass 100 g is revolving in a horizontal circle. It its frequency of rotation is 3.5 r.p.s and radius of circular path is 0.5m, the angular speed of the body is

Select the WRONG statement.

A racing car of mass 100 kg goes around a circular track (horizontal) of radius 10 m. The maximum thrust that truck can withstand is 10⌃5 N. The maximum speed with which car can go around is

The body of mass m is supended from a string of length l . What is minimum horizonatal velocity that should be given to the body in its highest position so that it may complete one full revolution in the vertical plane with the point of suspension as the centre of the circle

The ratio of angular speed of second hand to that of the minute hand of a clock is

Two solid cylinders P and Q of the same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P has most of the mass concentrated near its surface , while Q has most of its mass neat its surface, while Q has most of its mass concentrated near the axis. What statement (s) is/(are) correct?

A mass m is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?

An electric fan has blades of length 30cm as measured from the axis of rotation. If the fan is rotating at 1200 r.p.m. , the acceleration of a point on the tip of the blade is about

A string breaks under a load of 4 kg. A mass weighting 200 g is attached to the end of this string which is one metre long and rotated horizontally. The angular velocity of rotation when the string breaks, is nearly (g = 10m/s2)

A student weighting 667 N rides a steadily rotating Ferris wheel (student sits upright). At the highest point, the magnitude of the normal force N vector , if the wheel’s speed is doubled, is

A bend in level road has a radius of 100 m. The maximum speed with which a car turning this bend without skidding, if coefficient of friction between the tyres and the surface of the road is 0.8, will be (g=9.8 m/s2)

A aircraft executes a horizontal loop with a speed of 150 m/s with its wings banked at an angle of 12º. The radius of the loop is ( g=10 m/s2 ) 

Calculate the angular momentum of the earth due to rotation about its own axis. Assume that the earth is a sphere of mass 6 ✕ 10⌃24 kg and radius 6400km.

A swimmer while jumping into water from a height easily forms a loop in air, if

A uniform horizontal circular platform of mass 200kg is rotating in 10 r.p.m. about a vertical axis passing through its centre. A boy of mass 500 Kg is standing on its edge. If the boy moves to the centre of the platform, then the frequency of rotation would be

The angular separation between the minute hand and the hour hand of a clock at 12:20 pm is

Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R. They all spin with the same mass M and radius R. They all spin with the same angular speed ⍵ about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation.

A thin circular plate of mass M and radius R has its density varing as ⍴(r) = ⍴o r with ⍴o as constant and r is the distance from its center. The moment of Inertia of the circular plane about an axis perpendicular to the plate and passing through its edge is I = aMR⌃2. The value of the coefficient a is :

A bob of mass m attached to an inextensible string of length l is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed ⍵ rad/s about the vertical. About the point of suspension,

An automobile moves on a road with a speed of 54 km h⌃-1. The radius of its wheels is 0.45 m and the moment of inertia of the wheel about its axis of rotation is 3 kg m2. If the vehicle is brought to rest in 15s, the magnitude of average torque transmitted by its brakes to the wheel is

A solid cylinder of mass 2kg and radius 4cm is rotating about its axis at the rate of 3 rpm. The torque required to stop after 2⎍ revolutions is