Velocity is the rate of change of any object’s position. When any object moves in a straight path, that object’s velocity is called linear velocity. Linear velocity can be denoted using the letter ‘v’. The SI unit of the linear velocity is m/s. If ‘v’ is the linear velocity, ‘x’ is the distance travelled by an object, and the ‘t’ is the time taken by an object to cover the distance, then the formula of linear velocity can be expressed as,
v = x/t
Read More – Linear Velocity
Important Questions with Answers
1. Linear velocity is a_________.
- vector quantity
- scalar quantity
- dimensionless quantity
- pseudo-quantity
Answer: a. vector quantity
Explanation: Linear velocity is a vector quantity. Because to define linear velocity, both direction and magnitude are needed.
2. What is angular velocity?
The angular velocity can be described as the rate of change of the angular position of the rotating body. And it can be symbolised by ‘ω’.
3. What is constant linear velocity?
If a body moves at a steady speed without changing its direction, it can be expressed as moving with a constant linear velocity.
4. A radial component of a particle is nothing but a component at which the centripetal component of the particle is always parallel to the particle’s velocity.
- True
- False
Answer: b. False
Explanation: A tangential component of the particle is a component at which the centripetal component of the particle is parallel to the particle’s velocity.
5. The dimension formula of the linear velocity is,
- [M]0[L]1[T]-1
- [M]3[L]1[T]-1
- [M]0[L]3[T]-1
- [M]0[L]1[T]3
Answer: a. [M]0[L]1[T]-1
6. Write an expression of linear velocity.
The linear velocity of an object totally depends on the distance which is travelled by that object with respect to the time taken. If ‘v’ is the linear velocity of an object, ‘x’ is the distance travelled by the object, and the ‘t’ is the time taken to cover the distance, then the expression of linear velocity can be written as,
v = x/t
7. What is the difference between linear velocity and velocity?
The velocity is nothing but the rate of change of position for a given period. And the linear velocity is nothing but the speed of an object in a straight line.
8. The linear velocity can be denoted by ____ .
- v
- x
- t
- None of the above
Answer: a. v
Explanation: Linear velocity is denoted by the letter ‘v’, ‘x’ is the distance, and ‘t’ is the time taken to travel distance ‘x’.
9. What is the relation between linear speed and linear velocity?
The linear velocity is the derivative of position with respect to the time function. And the linear speed is the absolute value of linear velocity.
10. Define angular displacement.
An angle in radians indicates how a point or line has been rotated in a specific axis to achieve some specified objective.
Practice Questions
- What is the relation between linear velocity and angular velocity?
- Explain linear velocity by using diagrams.
- What is the radial component?
- What is the unit of linear velocity?
- What is linear velocity?
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