Astone whirled at the end of the a rope 30cm long, makes 10 complete resolution in 2 seconds find: a. the angular velocity in radians b. the linear speed c. the distance covered in 5 seconds

Answers:

A: Angular velocity

B: Linear velocity

C: Linear Distance

Given:

Radius of the rope r=30cm=0.3m

Angular distance=10 revolutions

Time taken t=2seconds

To find:

A: Angular velocity in radians

B: Linear speed

C: Distance covered in 5 seconds

Step by Step Explanations:

Solution:

A: Angular velocity in radians;

According to the formula, Angular velocity can be calculated as

Angular Velocity = angular distance/ time

Where =Angular velocity

=Angular distance=10 revolutions

Changing revolutions to radians multiply with , so that we get

=62.80 rad/rev

=Change in time

Substitute the known values in the above equation we get

=62.80 / 2  

B. Linear speed of the rope;

As per the formula

Linear speed = angular speed × radius

Where =Angular velocity

v=Linear speed of the rope

r=Radius of the rope

Substitute the known values in the above equation we get

C. Dsitance covered in 5 seconds;

Linear distance = linear speed × time

Where d= Linear distance of the rope

v=Linear speed of the rope

t=Time taken

Substitute the known values in the above equation we get

Result:

Thus A: Angular velocity of the rope

B Linear speed of the rope

C: Distance covered in 5 seconds

they should be similar or the same

if they have a finite resultant