Question

angular speed of a body is 20 radian per second.Find the linear speed if the radius of the wheel of the body is 7m​

Answer 1

Solution :

➡ Given:

✏ Angular velocity of a body = 20 rad/s

✏ Radius of the circular path = 7m

➡ To Find:

✏ Linear velocity of the wheel = ?

➡ Formula:

✏ Relation of linear velocity and angular velocity in circular motion is given by

$\huge{ \star }\: \underline{ \boxed{ \bold{ \rm{ \pink{ \huge{v = r \omega}}}}}} \: \huge{ \star}$

➡ Terms indication:

✏ v denites linear velocity.

✏ r denotes radius of circular path.

✏ $\omega$ denotes angular velocity.

➡ Calculation:

• v = 7 × 20

• v = 140 m/s

➡ Additional information:

✏ Angular velocity is a vector quantity.

✏ Linear velocity is also a vector quantity.

Answer 2

$\large \underline{ \red{ \boxed{ \bf \orange{Required \: Answer}}}}$