Question:
A constant torque acting on a uniform circular wheel changes its angular momentum from $A _{0}$ to $4 A _{0}$ in $4 \,s$. The magnitude of this torque is
A constant torque acting on a uniform circular wheel changes its angular momentum from $A _{0}$ to $4 A _{0}$ in $4 \,s$. The magnitude of this torque is
Updated On: Jul 5, 2022
- $\frac{3 A_{0}}{4}$
- $ A_{0}$
- $ 4A_{0}$
- $ 121A_{0}$
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Change in angular momentum
$=4 A_{0}-A_{0}$
$\Delta L=3 A_{0}$
Torque, $\tau=\frac{\Delta L}{\Delta t}$
$\tau=\frac{3 A_{0}}{4}$
Was this answer helpful?
0
0
Top Questions on torque
- A region in the form of an equilateral triangle (in x-y plane) of height L has a uniform magnetic field 𝐵⃗ pointing in the +z-direction. A conducting loop PQR, in the form of an equilateral triangle of the same height 𝐿, is placed in the x-y plane with its vertex P at x = 0 in the orientation shown in the figure. At 𝑡 = 0, the loop starts entering the region of the magnetic field with a uniform velocity 𝑣 along the +x-direction. The plane of the loop and its orientation remain unchanged throughout its motion.
Which of the following graph best depicts the variation of the induced emf (E) in the loop as a function of the distance (𝑥) starting from 𝑥 = 0? - A uniform magnetic field of \( 2 \times 10^{-3} \, \text{T} \) acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current of 5 A is in the Y-Z plane. The current is in anticlockwise sense with reference to the negative X-axis. Magnitude and direction of the torque is:
- The number of turns of the coil of a moving coil galvanometer is increased in order to increase current sensitivity by $50 \%$ The percentage change in voltage sensitivity of the galvanometer will be:
- The torque acting on a magnetic dipole placed in uniform magnetic field is zero, when the angle between the dipole axis and the magnetic field is _____.
- A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g are put one on the top of the other at the 10.0 cm mark the scale is found to be balanced at the 40.0 cm mark. The mass of the metre scale is found to be \(x\times 10^{-2}\) kg. The value of x is _________.
View More Questions
Questions Asked in Chhattisgarh PMT exam
- A cylindrical vessel is filled with a liquid of density $d$ upto a height $h$, if the vessel is at rest, then the pressure at the bottom is
- Chhattisgarh PMT - 2010
- mechanical properties of fluid
The \(v-t\) graph of a moving object is given in figure. The maximum acceleration is
- Chhattisgarh PMT - 2007
- Acceleration
- Emf of generator is $6 \,V$ and internal resistance is $0.5\, k \Omega$. If internal resistance of voltmeter is $2.5\, k \Omega$. then reading of voltmeter must be
- Chhattisgarh PMT - 2007
- Electric charges and fields
- A frictionless track $A B C D E$ ends in a circular loop of radius $R. A$ body slides down the track from point $A$ which is at a height $h = 5 \,cm$ . Maximum value of $R$ for the body to successfully complete the loop is
- Chhattisgarh PMT - 2007
- Uniform Circular Motion
- Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first
- Chhattisgarh PMT - 2007
- projectile motion
View More Questions
Concepts Used:
Torque
Torque is a moment of force. Torque is measured as a force that causeque is also defined as the turning effect of force on the axis of rotation. Torque is chs an object to rotate about an axis and is responsible for the angular acceleration. Characterized with “T”.
How is Torque Calculated?
Torque is calculated as the magnitude of the torque vector T for a torque produced by a given force F
T = F. Sin (θ)
Where,
r - length of the moment arm,
θ - the angle between the force vector and the moment arm.
Read More: Torque
Types of Torque
Torque is of two types:
- Static torque
- Dynamic torque