Question

scooter is going around a circular road of radius 100 M at a speed of 10 M per second the angular speed of the scooter will be

Answer 1

The angular speed of the scooter is
${10}^{ - 1}$ m/s

Answer 2

Given,

Radius of circle ( r ) = 100 m

So,

=> Circumference of circle = 2πr

=> Circumference of circle = 2π × 100 m

•°• Circumference a circle = 200π m

Now,

Speed of scotter = 10 m/s

Distance to be covered = 200π m

Time = ?

Using formula,

=> Time = Distance ÷ Speed

=> Time = 200π m ÷ ( 10 m/s )

=> Time = 200π m × ( 1 s / 10 m )

•°• Time = 20π s

Now,

=> Angular velocity = Angle ( radian ) ÷ time [ 360° = 2π radian )

= ( 20π radian ) ÷ ( 20π s )

= ( 20/10 ) radian/s

=2 radian/sec