Question:
A car moves on a circular road. It describes equal angles about the centre in equal intervals of time. Which of the following statements about the velocity of the car is true?
A car moves on a circular road. It describes equal angles about the centre in equal intervals of time. Which of the following statements about the velocity of the car is true?
Updated On: Jul 5, 2022
- Magnitude of velocity is not constant
- Both magnitude and direction of velocity change
- Veiocity is directed towards the centre of the circle
- Magnitude of veiocity is constant but direction changes
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The Correct Option is D
Solution and Explanation
As body covers equal angles in equal time intervals of time, so its angular velocity and hence magnitude of linear velocity is constant.
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration