The motion of the body moving with constant speed along a circular path is called Uniform Circular Motion. If the particle is moving in a circle, it must have some acceleration acting towards the centre which is making it move around the centre.
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So if a particle is moving in a uniform circular motion:
1) Its speed is constant
2) Velocity is changing at every instant
3) There is no tangential acceleration
4) Radial (centripetal) acceleration = ω2r,ω is the angular velocity and r is the radius of the circle.
Q1: The angular velocity of a body moving with a constant speed v in a circle of radius r is given by
- v2/r
- vr
- v/r
- r/v
Answer: (c) v/r
Q2: A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn is
- Doubled
- Quadrupled
- Halved
- Unchanged
Answer: (b) Quadrupled
Q3: What will be the velocity vector of a particle moving in a circle describing equal angles in equal times
- Changes in direction
- Remains constant
- Changes in magnitude
- Changes both in direction and magnitude
Answer: (a) Changes in direction
Q4: A body moves with a constant speed in a circular path is moving in a circular path with a constant speed. It has
- Acceleration of constant magnitude
- Constant velocity
- Constant acceleration
- An acceleration which varies with time
Answer: (a) Acceleration of constant magnitude
Q5: A motorcyclist going with a constant speed in a circular track has
- Linear velocity is constant
- Constant acceleration
- Angular velocity is constant
- Constant force
Answer: (c) Angular velocity is constant
Q6: What could be the reason a car moving on a horizontal road gets thrown out of the road while taking a turn
- Due to the reaction of the ground
- Due to rolling frictional force between tyre and road
- By the gravitational force
- Due to lack of sufficient centripetal force
Answer: (d) Due to lack of sufficient centripetal force
Q7: If a particle moves with constant angular velocity in a circle then during the motion its
- Momentum is conserved
- Energy is conserved
- Both energy and momentum is conserved
- None of the above is conserved
Answer: (b) Energy is conserved
Q8: A stone tied to a string is rotated in a circle. If the string is cut, the stone flies away from the circle because
- A centrifugal force acts on the stone
- Of its inertia
- A centripetal force acts on the stone
- The reaction of the centripetal force
Answer: (b) Of its inertia
Q9: A body moves with a constant speed along a circle. Then,
- No work is done on it
- There is no acceleration produced in the body
- No force acts on the body
- The body has constant velocity
Answer: (a) No work is done on it
Q10: A tachometer is a device to measure
- Gravitational pull
- Speed of rotation
- Surface tension
- Tension in a spring
Answer: (b) Speed of rotation
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