Advertisements
Advertisements
प्रश्न
A particle rotates in U.C.M. with tangential velocity V along a horizontal circle of diameter ‘D' . Total angular displacement of the particle in time 't' is..........
पर्याय
vt
(v/D)-t
vt/2D
2vt/D
Advertisements
उत्तर
`(2("vt"))/D`
Velocity= v ; Diameter= D →Radius= `D/2`
`omega=theta/t andv=r*omega`
`therefore v=D/2*theta/t`
`therefore theta=(2vt)/D`
APPEARS IN
संबंधित प्रश्न
Explain the meaning of uniform circular motion. Give one example of such motion.
Differentiate between uniform linear motion and uniform circular motion.
State True or False
The earth moves around the sun with a uniform.
The motion of the moon around the earth in a circular path is an accelerated motion.
Which of the following quantity remains constant in a uniform circular motion?
A uniform metre rule of mass 100g is balanced on a fulcrum at mark 40cm by suspending an unknown mass m at the mark 20cm.
To which side the rule will tilt if the mass m is moved to the mark 10cm ?
Define angular velocity.
Answer the following question.
Show that the centripetal force on a particle undergoing uniform circular motion is -mrω2.
Solve the following problem.
A car moves in a circle at a constant speed of 50 m/s and completes one revolution in 40 s. Determine the magnitude of the acceleration of the car.
Which one of the following is most likely not a case of uniform circular motion?
What is meant by uniform circular motion? Give two examples of uniform circular motion.
The ratio of the angular speed of minute hand and hour hand of a watch is ____________.
A disc has mass 'M' and radius 'R'. How much tangential force should be applied to the rim of the disc, so as to rotate with angular velocity 'ω' in time t?
Select the WRONG statement.
At any instant, the magnitude of the centripetal force on a particle of mass 'm' performing circular motion is given by (ω = angular velocity and v = linear velocity of the particle) ______.
A body moves in a uniform circular motion ______.
Which of the following is correct about uniform circular motion
- the direction of motion is continuously changed
- the direction of motion is not changed
- speed and direction both remain constant
- speed is constant but the direction is changing
A body is said to be in nonuniform motion if it travels ______.
In uniform motion, an object travels equal ______ in ______ interval of time.
Define uniform circular motion and give an example of it. Why is it called accelerated motion?
For a particle performing uniform circular motion, choose the correct statement(s) from the following:
- Magnitude of particle velocity (speed) remains constant.
- Particle velocity remains directed perpendicular to radius vector.
- Direction of acceleration keeps changing as particle moves.
- Angular momentum is constant in magnitude but direction keeps changing.
A wet open umbrella is held upright and is rotated about the handle at a uniform rate of 21 revolutions in 44 s. If the rim of the umbrella is a circle of 1 metre in diameter and the height of the rim above the floor is 1.5 m, the drops of water spun off the rim and hit the floor at a horizontal ______ m from the umbrella.
A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is ______.

A ceiling fan rotates about its own axis with some angular velocity. When the fan is switched off the angular velocity becomes `(1/4)^"th"` of the original in time 't' and 'n' revolutions are made in that time. The number of revolutions made by the fan during the time interval between switch off and rest are ______. (Angular retardation is uniform)
The kinetic energy K of a particle moving along a circle of radius R depends on the distance covered s as K = as2, where a is a constant. The force acting on the particle is ______.
In uniform circular motion, although the speed is constant, why does acceleration occur?
