A particle moves with constant angular velocity in a circle. During the motion its:
1. | Energy is conserved |
2. | Momentum is conserved |
3. | Energy and momentum both are conserved |
4. | None of the above is conserved |
Two bodies of mass 10 kg and 5 kg moving in concentric orbits of radii R and r such that their periods are the same. Then the ratio between their centripetal acceleration is
1. R/r
2. r/R
3. R2/r2
4. r2/R2
A particle is moving in a horizontal circle with constant speed. It has constant
1. Velocity
2. Acceleration
3. Kinetic energy
4. Displacement
The angular speed of a flywheel making 120 revolutions/minute is:
1.
2.
3.
4.
Certain neutron stars are believed to be rotating at about 1 rev/sec. If such a star has a radius of 20 km, the acceleration of an object on the equator of the star will be
1.
2.
3.
4.
An electric fan has blades of length 30 cm 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
1. 1600 m/sec2
2. 4740 m/sec2
3. 2370 m/sec2
4. 5055 m/sec2
The angular speed of seconds needle in a mechanical watch is:
1. rad/s
2. 2π rad/s
3. π rad/s
4. rad/s
1. | \(6 \hat{i}+2 \hat{j}-3 \hat{k} \) |
2. | \(-18 \hat{i}-13 \hat{j}+2 \hat{k} \) |
3. | \(4 \hat{i}-13 \hat{j}+6 \hat{k}\) |
4. | \(6 \hat{i}-2 \hat{j}+8 \hat{k}\) |
A particle moves with constant speed \(v\) along a circular path of radius \(r\) and completes the circle in time \(T\). The acceleration of the particle is:
1. \(2\pi v / T\)
2. \(2\pi r / T\)
3. \(2\pi r^2 / T\)
4. \(2\pi v^2 / T\)
1. \(3.14~\text{m/s}\)
2. \(2.0~\text{m/s}\)
3. \(1.0~\text{m/s}\)
4. zero