Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

Angular Motion Questions

Angular velocity is the vector measure of the rotation rate, which refers to how fast an object rotates or revolves relative to another point.

Angular motion is defined as the motion of a body about a fixed point or fixed axis. It is equal to the angle passed over at the point or axis by a line drawn to the body.

A body is said to be in angular motion if the motion of the body moves along the curved path at a constant and consistent angular velocity.

Example: Athlete running along a circular path.

Angular acceleration is defined as the time rate of change of angular velocity. Angular acceleration is expressed in radians per second per second.

Read more: Angular Motion.

Important Angular Motion Questions with Answers

1. What is the formula to calculate the angular acceleration?

  1. \(\begin{array}{l}\alpha =\frac{d\omega }{dt}\end{array} \)
  2. \(\begin{array}{l}\beta =\omega+t\end{array} \)
  3. \(\begin{array}{l}\alpha =\omega-t\end{array} \)
  4. \(\begin{array}{l}\beta =\omega*t\end{array} \)

Answer: a)

\(\begin{array}{l}\alpha =\frac{d\omega }{dt}\end{array} \)

Explanation: The angular acceleration is given by the formula:

\(\begin{array}{l}\alpha =\frac{d\omega }{dt}\end{array} \)
.

2. The SI unit of angular acceleration is _____.

  1. rad/s
  2. rad/s4
  3. rad/s2
  4. rad/s^-1

Answer: c) rad/s2

Explanation: The SI unit of angular acceleration is rad/s2.

3. The angular acceleration is denoted by _____.

  1. \(\begin{array}{l}\beta\end{array} \)
  2. \(\begin{array}{l}\alpha\end{array} \)
  3. \(\begin{array}{l}\varepsilon\end{array} \)
  4. \(\begin{array}{l}\mu\end{array} \)

Answer: b)

\(\begin{array}{l}\alpha\end{array} \)

Explanation: The angular acceleration is denoted by the symbol

\(\begin{array}{l}\alpha\end{array} \)
.

4. What is the unit of force?

  1. rad/s2
  2. N/m
  3. Nm
  4. Js^-1

Answer: c) Nm

Explanation: Nm is the unit of force.

5. How is the relationship between linear and angular speed represented?

The relationship between linear and angular speed is given by the formula:

\(\begin{array}{l}r\omega = v\end{array} \)
.

6. State true or false: Angular velocity is the number of radians covered per hour.

  1. TRUE
  2. FALSE

Answer: b) FALSE

Explanation: Angular velocity is the number of radians covered per second.

7. What is the formula to calculate the displacement in linear motion?

  1. \(\begin{array}{l}s=v_{i}t-\frac{1}{2}at^{2}\end{array} \)
  2. \(\begin{array}{l}s=v_{i}t*\frac{1}{2}at^{2}\end{array} \)
  3. \(\begin{array}{l}s=v_{i}t+\frac{1}{2}at^{2}\end{array} \)
  4. \(\begin{array}{l}s=2v_{i}t-\frac{1}{2}at^{2}\end{array} \)

Answer: c)

\(\begin{array}{l}s=v_{i}t+\frac{1}{2}at^{2}\end{array} \)

Explanation: The formula to calculate the displacement in linear motion is

\(\begin{array}{l}s=v_{i}t+\frac{1}{2}at^{2}\end{array} \)
.

8. Write the formula to calculate the velocity in angular motion.

The velocity in angular motion is given by the formula

\(\begin{array}{l}\omega =\frac{\Delta \Theta}{\Delta t}\end{array} \)
.

9. How is velocity denoted in angular motion?

The velocity in angular motion is represented by the symbol

\(\begin{array}{l}\omega\end{array} \)
.

10. Angular velocity is a ______.

  1. Scalar quantity
  2. Vector quantity
  3. Dimensionless quantity
  4. None of the options

Answer: b) Vector quantity

Explanation: Angular velocity is a vector quantity which has both magnitude and direction.

Practice Questions

  1. Define angular motion.
  2. What is angular velocity?
  3. Give an example of angular motion.
  4. What is the formula to calculate the velocity in linear motion?
  5. Is angular acceleration a scalar quantity or vector quantity?
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