List of top Physics Questions on Uniform Circular Motion

A particle completes 2 revolutions in a circular path of radius 3 cm. The angular displacement of the particle will be (in radian)

A car is travelling at 40 m/s on a circular path of radius 40 m. It is increasing its speed at the rate of \(2 \text{m/s}^2\). Its net acceleration is (in \(\text{m/s}^2\)) nearly

A particle is performing U.C.M. along a circle of radius \(R\). In half the period of revolution, its displacement and distance covered are respectively

Two particles having mass 'M' and 'm' are moving in a circular path with radius 'R' and 'r' respectively. The time period for both the particles is same. The ratio of angular velocity of the first particle to that of the second particle will be

A body moves along a circular path of diameter \(30 \text{cm}\). It starts from one end of diameter, moves along the circular path and reaches the other end of diameter in 3 second. The angular speed of the body in radian per second is

A solid sphere of radius R and mass M is rotating about its diameter. The moment of intertia of the solid sphere rotating about an axis at a distance \(\frac{R}{3}\) from the centre and parallel to that diameter is

A machine gun fires a bullet of mass 40g with a speed of \(600\text{ ms}^{-1}\). The person holding the gun can bare maximum force of 168N on it. The number of bullets that can be fired from the gun per second is

A particle is moving with constant angular acceleration \(4\,\text{rad/s}^2\) in circular path. At what time the magnitudes of its tangential acceleration and centripetal acceleration will be equal ?

A particle at rest starts moving with constant angular acceleration '\(α\)' in a circular path of radius 'r'. At certain instant, the magnitude of centripetal acceleration is \((\frac{1}{3})^{rd}\) the tangential acceleration. The relation between linear speed (V) and angular acceleration (\(α\)) is

A particle performing U.C.M. of radius \(\frac{π}{2}\) m makes 'x' revolutions in time t. Its tangential velocity is

A string of length 'L' fixed at one end carries a mass 'm' at the other end. The string makes \(\frac{3}{π}\) r.p.s. around the vertical axis through fixed end. The tension in the string is

The relative angular speed of hour hand and minute hand of clock is

In non uniform circular motion, the ratio of radial acceleration to tangential acceleration is (V is the velocity, r is the radius and \(α\) is the angular acceleration)

The angular speed of the minute hand of a clock in degrees per second is

The unit of angular velocity is: ____.

What will be the maximum speed of a car on a circular road of radius $12 \text{ m}$ if the coefficient of friction between the tyres and the road is $0.3$? $g = 10 \text{ms}^{-2}$}

एक कार 50 m त्रिज्या के एक वृत्ताकार मोड़-पथ पर चलती है, जो \(\theta\) कोण पर बैंक्ड (banked) है। यदि कार \(10\,ms^{-1}\) की चाल से चलती है, तो उसके टायरों का घिसाव न्यूनतम होता है। गुरुत्वीय त्वरण \(g=10\,ms^{-2}\) मानते हुए, \(\theta\) का मान है :

A particle moves in a circle of radius $R$ such that its linear speed varies with time $t$ as $v = kt$, where $k$ is a positive constant. The angle $\theta$ between the net acceleration vector and the velocity vector at time $t$ is given by:

A particle moves along a circle of radius $R$ with a constant angular acceleration $\alpha$. If the initial angular velocity is zero, the total acceleration of the particle at time $t$ is:

A car is moving with velocity V at the top of a semi-circular hill of radius 40 m such that the normal force on it is zero. Find the velocity (V) of the car. [use \( g = 10 \, \text{ms}^{-2} \)]

What is the formula for the safety speed on a banked road?

The linear speed of a stone revolving 5 times in a circle of 4 cm radius in 2 minute is (in $cm s^{-1}$)

State the formula for the safety speed of a vehicle on a curved banked road.

A particle of mass \(m\) is moving in a circular path of constant radius \(r\) such that its centripetal acceleration \(a_{c}\) is varying with time \(t\) as \(a_{c} = k^{2}rt^{2}\), where \(k\) is a constant. The power delivered to the particle by the forces acting on it is: