A hammer thrower is trying a new throw by adjusting the arm length to increase angular velocity technique1 angular velocity of15.4rad/ s with the hammer being 139.8 cm from the shoulder joint in technique2 they rotate with an angular velocity of 13.9 rad/s with the hammer being155.5 cm from shoulder joint what is the difference in the tangential velocity between the technique 1 and technique 2?

To find the difference in tangential velocity between technique 1 and technique 2, we first need to understand the relationship between angular velocity and tangential velocity.

Angular velocity measures the rate at which an object rotates or revolves around a central point. Tangential velocity, on the other hand, measures the linear speed of an object along its circular path.

The formula for tangential velocity is given by:

Tangential velocity = r * Angular velocity

where r is the distance from the center of rotation to the object.

Now, let's calculate the tangential velocity for technique 1:

Tangential velocity for technique 1 = 139.8 cm * 15.4 rad/s

Next, let's calculate the tangential velocity for technique 2:

Tangential velocity for technique 2 = 155.5 cm * 13.9 rad/s

To find the difference in tangential velocity between the two techniques, subtract the tangential velocity of technique 2 from technique 1:

Difference in tangential velocity = Tangential velocity for technique 1 - Tangential velocity for technique 2

Now, plug in the values we calculated and solve for the difference in tangential velocity.