List of top Physics Questions on Uniform Circular Motion

The unit of angular velocity is: ____.
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 $cm s^{-1}$)

Find speed given to particle at lowest point so that tension in string at point A becomes zero. 

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:
A particle moves in a circular path of radius 4 cm. It completes 5 revolutions in 2 minutes. Find its linear velocity.
A particle moves in a circular path of radius 4 cm
Determine the minimum speed at the topmost point of a vertical circle of radius \(L\) for the string to remain taut.
A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of car will be, if friction between tyres and road is 0.34. [Take \( g = 10 \) ms\(^{-2}\)]
A block of mass \(m\) is released from height \(h\) on a smooth plane. If the normal force on the top of the circular part is \(3mg\), find \(h\).
Complete the following: A car is moving in uniform circular motion. The direction of friction between the tyres and the path is _____________.

In case of vertical circular motion of a particle by a thread of length \( r \), if the tension in the thread is zero at an angle \(30^\circ\) as shown in the figure, the velocity at the bottom point (A) of the vertical circular path is ( \( g \) = gravitational acceleration ). 

The diagram shows a wheel with a handle. Two forces, F\(_1\) and F\(_2\) of equal magnitudes are acting on the handle as shown in the diagram.
(a) Which force produces negative moment?
(b) Is the wheel in equilibrium? (Yes or No)
(c) Justify your answer stated in (b).
A block of mass \( m \) is at rest w.r.t. a hollow cylinder which is rotating with angular speed \( \omega \), radius of the cylinder is \( R \). Find the minimum coefficient of friction between the block and the cylinder.
For the given circuit arrangement, find the charge on the capacitor in steady state.
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 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, $g = 10 \text{ m/s}^2$ )}
A particle performing uniform circular motion of radius $\frac{\pi}{2} \text{ m}$ makes $x$ revolutions in time $t$. Its tangential velocity 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
The molar specific heat of an ideal gas at constant pressure and constant volume is '\(C_P\)' and '\(C_V\)' respectively. If '\(R\)' is a universal gas constant and the ratio of '\(C_P\)' to '\(C_V\)' is \(\gamma\), then '\(C_P\)' is equal to
A vehicle is moving with a constant speed of $10\text{ m/s}$ in a circular horizontal track of radius $20\text{ m}$ . A bob is suspended from the roof of a vehicle by a massless string. The angle made by the string with the vertical will be (acceleration due to gravity, $g = 10\text{ m/s}^2$ )}