Welcome to the **Relation Between Linear And Angular Velocities MDCAT** MCQs with Answers. In this post, we have shared **Relation Between Linear And Angular Velocities** Multiple Choice Questions and Answers for **PMC MDCAT 2024**. Each question in MDCAT Physics offers a chance to enhance your knowledge regarding **Relation Between Linear And Angular Velocities** MCQs in this MDCAT Online Test.

## Relation Between Linear And Angular Velocities MDCAT MCQs Test Preparations

If the angular velocity of a rotating object is doubled while the radius remains constant, the linear velocity will:

a) Double

b) Quadruple

c) Halve

d) Remain the same

The unit of angular velocity

𝜔

ω is:

a) m/s

b) m/s²

c) rad/s

d) rad/s²

For an object moving in a circle, if the radius is increased while the angular velocity remains constant, the linear velocity will:

a) Increase

b) Decrease

c) Remain the same

d) Become zero

𝜔

ω is the rate of change of:

a) Angular acceleration

b) Linear velocity

c) Angular displacement

d) Linear acceleration

If the radius of a circular path is halved and the linear velocity remains constant, the angular velocity must:

a) Double

b) Remain unchanged

c) Halve

d) Quadruple

The relationship between linear velocity

𝑣

v and angular velocity

𝜔

ω is:

a) Directly proportional to the radius

b) Inversely proportional to the radius

c) Independent of the radius

d) Equal to the square of the radius

The unit of linear velocity

𝑣

v is:

a) rad/s

b) m/s

c) m/s²

d) rad/s²

In rotational motion, if the angular velocity is constant and the radius is increased, the linear velocity will:

a) Increase

b) Decrease

c) Remain constant

d) Become zero

If the linear velocity of a rotating object is increased, what happens to the angular velocity if the radius is unchanged?

a) It increases

b) It decreases

c) It remains the same

d) It becomes zero

For an object in rotational motion, if the radius is constant and the angular velocity is increased, the linear velocity will:

a) Increase

b) Decrease

c) Remain the same

d) Become zero

The angular velocity

𝜔

ω is the derivative of:

a) Linear velocity

b) Linear displacement

c) Angular displacement

d) Angular acceleration

In a rotating system, if both the radius and the angular velocity are doubled, what happens to the linear velocity?

a) Quadruples

b) Doubles

c) Halves

d) Remains unchanged

If the linear velocity of an object is increased and the radius is also increased, the angular velocity will:

a) Increase

b) Decrease

c) Remain constant

d) Become zero

In a circular path, if the linear velocity is constant but the radius increases, the angular velocity must:

a) Decrease

b) Increase

c) Remain the same

d) Become zero

What happens to the linear velocity if the radius is halved and the angular velocity remains constant?

a) It is halved

b) It doubles

c) It remains unchanged

d) It quadruples

The linear velocity

𝑣

v of an object moving in a circle is given by

𝑣

=

𝜔

⋅

𝑟

v=ω⋅r. If the radius is tripled, what happens to the linear velocity?

a) It triples

b) It doubles

c) It remains the same

d) It increases by a factor of 9

The unit of radius

𝑟

r in the formula

𝑣

=

𝜔

⋅

𝑟

v=ω⋅r is:

a) m/s

b) rad/s

c) meters

d) rad/s²

If the angular velocity is halved and the radius is unchanged, the linear velocity will:

a) Halve

b) Double

c) Quadruple

d) Remain the same

In rotational motion, the linear velocity

𝑣

v of a point on the edge of a rotating object is proportional to:

a) The angular velocity

𝜔

ω

b) The square of the radius

𝑟

r

c) The angular displacement

d) The angular acceleration

𝜔

ω

In a rotating object, if the radius is increased by a factor of 2 and the linear velocity remains unchanged, the angular velocity must be:

a) Halved

b) Doubled

c) Quadrupled

d) Remain unchanged

If the radius of a rotating object is halved and the angular velocity is doubled, the linear velocity will:

a) Remain the same

b) Double

c) Quadruple

d) Halve

The angular velocity

𝜔

ω is given by the rate of change of:

a) Linear displacement

b) Angular acceleration

c) Linear velocity

d) Angular displacement

The formula

𝑣

=

𝜔

⋅

𝑟

v=ω⋅r shows that the linear velocity is:

a) Directly proportional to angular velocity

b) Inversely proportional to radius

c) Independent of radius

d) Equal to the square of radius

If the linear velocity is doubled while keeping the radius constant, the angular velocity will:

a) Double

b) Quadruple

c) Remain the same

d) Halve

For an object in uniform circular motion, if the angular velocity is known and the radius is increased, the linear velocity will:

a) Increase

b) Decrease

c) Remain the same

d) Become zero

If the linear velocity of a point on a rotating wheel is decreased while the radius remains the same, the angular velocity will:

a) Decrease

b) Increase

c) Remain the same

d) Become zero

For an object in a rotating system, if the radius is constant and the linear velocity is tripled, the angular velocity will:

a) Triple

b) Double

c) Remain unchanged

d) Halve

If the radius of a rotating object is doubled and the linear velocity remains constant, the angular velocity will:

a) Halve

b) Double

c) Quadruple

d) Remain unchanged

In a rotating system, the linear velocity

𝑣

v is directly proportional to:

a) The radius

𝑟

r

b) The angular acceleration

c) The angular displacement

d) The angular velocity

𝜔

ω

𝑟

r

If an object’s angular velocity is increased while the radius is constant, the linear velocity will:

a) Increase proportionally

b) Decrease proportionally

c) Remain constant

d) Become zero

If the radius of a rotating object is tripled, the linear velocity will:

a) Triple

b) Double

c) Quadruple

d) Remain unchanged

In a rotating wheel, if the linear velocity is decreased and the radius is kept constant, the angular velocity will:

a) Decrease

b) Increase

c) Remain unchanged

d) Become zero

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