List of top Physics Questions on Uniform Circular Motion asked in MHT CET

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

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 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 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 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

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

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

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

Determine the minimum speed at the topmost point of a vertical circle of radius \(L\) for the string to remain taut.

A particle performing uniform circular motion of radius $\frac{\pi}{2} \text{ m}$ makes $x$ revolutions in time $t$. Its tangential velocity is

A weightless thread can bear tension up to $3.7 \text{ kg wt}$. A stone of mass $500 \text{ gram}$ is tied to it and revolved in circular path of radius $4 \text{ m}$ in vertical plane. Maximum angular velocity of the stone will be (acceleration due to gravity, $g = 10 \text{ m/s}^2$ )}

The relation between magnetic moment (M) of a current carrying circular coil and length (L) of the wire used is

An object of mass 0.2 kg executes simple harmonic oscillations along the x-axis with frequency of $(\frac{25}{\pi}) Hz$. At the position $x = 0.04 m$, the object has kinetic energy 1 J and potential energy 0.6 J. The amplitude of oscillation is

A stone of mass '(m)' kg is tied to a string of length '(L)' m and moved in a vertical circle of radius (49 cm) in a vertical plane. If it completes (30) revolutions per minute, the tension in the string when it is at the lowermost point is nearly [Take (\pi^2 = 10) and (g = 10 m/s^2)]

For a particle moving in a circle with constant angular speed, which of the following statements is 'false'?

An alternating voltage \(E = 100\sqrt{2} \sin(50t)\) is connected to a \(2\mu\text{F}\) capacitor through an a.c. ammeter. The ammeter reading will be