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..........
विकल्प
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
A stone tied to the end of a string 80 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 s, what is the magnitude and direction of acceleration of the stone?
Read the statement below carefully and state, with reason, if it is true or false:
The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector.
A vehicle is moving on a circular track whose surface is inclined towards the horizon at an angle of 10°. The maximum velocity with which it can move safely is 36 km / hr. Calculate the length of the circular track. [π = 3.142]
Is it possible to have an accelerated motion with a constant speed? Explain
Earth moves around the sun with uniform velocity.
Is it possible to have an accelerated motion with a constant speed? Name such type of motion.
Give an example of motion in which speed remains uniform, but the velocity changes.
The motion of the moon around the earth in a circular path is an accelerated motion.
Which of the following remains constant in a uniform circular motion, Speed or Velocity, or both?
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?
A uniform rod of length '6L' and mass '8 m' is pivoted at its centre 'C'. Two masses 'm' and ' 2m' with speed 2v, v as shown strikes the rod and stick to the rod. Initially the rod is at rest. Due to impact, if it rotates with angular velocity 'w1' then 'w' will be ________.
A particle performs uniform circular motion in a horizontal plane. The radius of the circle is 8 cm. The centripetal force acting on the particle is 15 N. Its kinetic energy is ____________.
A particle is moving in uniform circular motion with speed 'V' and radius 'R'. The angular acceleration of the particle is ______.
Certain neutron stars are believed to be rotating at about 1 rev/s. If such a star has a radius of 1.6 km, the acceleration of an object on the equator of the star will be nearly ____________.
Two particles P and Q are moving in concentric circles of rarui rp and rQ respectively. If their period of revolutions are in ratio 2 : 3, then ratio of their centripetal acceleration is ____________.
It is possible to have objects moving with uniform velocity but non-uniform acceleration.
Define uniform circular motion and give an example of it. Why is it called accelerated motion?
Earth can be thought of as a sphere of radius 6400 km. Any object (or a person) is performing circular motion around the axis of earth due to earth’s rotation (period 1 day). What is acceleration of object on the surface of the earth (at equator) towards its centre? what is it at latitude θ? How does these accelerations compare with g = 9.8 m/s2?
A disc of radius 5 cm rolls on a horizontal surface with linear velocity v = 1`hat"i"` m/s and angular velocity 50 rad/s. Height of particle from ground on rim of disc which has velocity in vertical direction is ______ cm.
A wheel rotating at the same angular speed undergoes constant angular retardation. After the revolution, angular velocity reduces to half its initial value. It will make ______ revolution before stopping.
A horizontal circular platform of mass M is rotating at angular velocity ω about a vertical axis passing through its centre. A boy of mass m is standing at the edge of the platform. If the boy comes to the centre of the platform, then the new angular velocity becomes ______.
A wheel is rotating at 900 rpm about its axis. When the power is cut off it comes to rest in 1 min. The angular retardation (assumed to be uniform (in rad s-1) is ______.
In uniform circular motion, although the speed is constant, why does acceleration occur?
