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
In U. C. M (Uniform Circular Motion), prove the relation `vec v = vec w xx vec r`, where symbols have their usual meanings.
Draw a neat labelled diagram of conical pendulum. State the expression for its periodic time in terms of length.
A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m/s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn?
Is it possible to have an accelerated motion with a constant speed? Explain
Earth moves around the sun with uniform velocity.
Give an example of motion in which speed remains uniform, but the velocity changes.
In a uniform circular motion, the speed continuously changes because of the direction of motion changes.
Complete a sentence and explain it.
When an object is in uniform circular motion, its ______ changes at every point.
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 ?
What is a conical pendulum?
Answer the following question.
Show that its time period is given by, 2π`sqrt((l cos theta)/("g"))` where l is the length of the string, θ is the angle that the string makes with the vertical, and g is the acceleration due to gravity.
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 mass 'm' is tied to one end of a spring and whirled in a horizontal circle with constant angular velocity. The elongation in the spring is 1 cm. If the angular speed is doubled, the elongation in the spring is 6 cm. The original length of the spring is ______.
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 ____________.
A cyclist is riding with a speed of 43.2 km/h. As he approaches a circular turn on the road of radius 60 m, he applies brakes and reduces his speed at constant rate of 1.8 ms-2. The magnitude of the net acceleration of the cyclist is ______.
The given graph represents motion with ______ speed.
Statement A: Uniform circular motion is a case of accelerated motion
Statement B: In the third equation of motion we do not have the term time
Define uniform circular motion and give an example of it. Why is it called accelerated motion?
If a body is moving in a circle of radius r with a constant speed v, its angular velocity 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)
A particle moves along a circle of radius r with constant tangential acceleration. If the velocity of the particle is v at the end of second revolution, after the revolution has started, then the tangential acceleration is ______.
A simple pendulum of length l has maximum angular displacement θ. The maximum kinetic energy of the bob of mass m is ______.
(g = acceleration due to gravity)
Why is uniform circular motion said to be accelerated?
What is the direction of the velocity of an object at any point during uniform circular motion?
In uniform circular motion, although the speed is constant, why does acceleration occur?
In uniform circular motion, although the speed is constant, why does acceleration occur?
The relationship between an object's linear velocity (v) and its angular velocity (ω) in a circular path of radius (r) is given by:
