Home
Class 12
PHYSICS
A ball of200 g is at one end of a string...

A ball of200 g is at one end of a string of length 20 cm. It is revolved in a horizontal circle at an angular frequency of 6 rpm. Find (i) the angular velocity, (ii) the linear velocity, (Hi) the centripetal acceleration,

Text Solution

Verified by Experts

(i) The angualr velocity
`omega = (2pi N)/(t) = (2pi xx 6)/60 = pi/3 = 0.6284 rad s^(-1)`
(ii) The linear velocity, `v=romega`
`=0.20 xx 0.6248 = 0.1257 ms^(-1)`
(iii) The centripetal acceleration, `a_(c) = romega^(2)`
`=0.20 xx (0.6284)^(2) = 0.0790 ms^(-2)`
(iv) The centripetal force, `F_( c) = mr omega^(2)`
`=0.200 xx 0.20 xx (0.6284)^(2) = 0.0158 N`
(v) The tension in the string `=0.0158` N
Promotional Banner

Similar Questions

Explore conceptually related problems

A ball of 200 g is at one end of a string of length 20 cm. It is revolved in a horizontal circle at an angular frequency of 6 rpm. Find (i) the angular velocity, (ii) the linear velocity, (iii) the centripetal acceleration, (iv) the centripetal force and (v) the tension in the string.

A stone of mass 2.0 kg is tied to the end of a string of 2m length. It is whirled in a horizontal circle. If the breaking tension of the string is 400 N, calculate the maximum velocity of the stone.

A article moves in a circle of radius 20 cm with linear speed of 10 m/s. Find the angular velocity

Stone of mass 1 kg tied to the end of a string of length 1m , is whirled in horizontal circle with a uniform angular velocity 2 rad s^(-1) . The tension of the string is (in newton)

A body of mass 200g tied to one end of string is revolved in a horizontal circle of radius 50cm with angular speed 60 revolution per minute ("rpm") on a smooth horizontal surface. Find (a) linear speed, (b) the acceleration and ( c) tension in the sting. what will happen if string is broken? (Take pi^(2)=10)

A particle moves in a circle of radius 4 m with a linear velocity of 20ms^(-1) . Find the angular velocity.

A body is whirled in a horizontal circle of radius 20cm . It has an angular velocity of 10rad//s . What is its linear velocity at any point on the circular path

A stone is tied to one end of a string and rotated in horizontal circle with a uniform angular velocity. The tension in the string is T, if the length of the string is halved and its angular velocity is doubled , the tension in the string will be

The blades of an aeroplane propeller are 2 m long and rotate at 300 rpm. Calculate (i) the frequency, (ii) period of rotation, (iii) the angular velocity, (iv) linear velocity of point 0.5 m from the top of the blades.

A rod of length L is hinged from one end. It is brought to a horizontal position and released. The angular velocity of the rod, when it is in vertical position, is