Question

A boy ties a stone to the end of a string which he then whirls above his head round a circular path of radius 10 cm. If the stone makes 20 oscillations in 20 seconds, calculate the angular and linear speeds of the stone.​

Answer 1

Answer:

I hope it may be correct

Explanation:

Given Radius(r) = 10 cm = 0.1 m

Circumference of head(length)= 2×(pie)×r

Now,

Circumference of head = 2×3.14×0.10

= 0.628 m

Total length of string that oscillations 20 times

= 0.628×20 = 12.56 m

Linear Speed = Total length/Total time

= 12.56/20

= 0.628 m/s

Angular speed = Linear Speed/Radius

= 0.628/0.1

= 6.28 rad/sec

Answer 2

Given Radius(r) = 10 cm = 0.1 m

Circumference of head(length)= 2×(pie)<r

Now,

Circumference of head = 2×3.14×0.10

= 0.628 m

Total length of string that oscillations 20

times

= 0.628×20 = 12.56 m

Linear Speed = Total length/Total time

= 12.56/20

= 0.628 m/s

Angular speed = Linear Speed/Radius

= 0.628/0.1

= 6.28 rad/sec