Answer:
HERE IS YOUR ANSWER
Step-by-step explanation:
To solve this problem, we can use the concept of tangential velocity in circular motion. The tangential velocity of a point on a rotating disk is directly proportional to its distance from the center of rotation.
Given:
Radius of the first point, r1 = 0.7 cm
Tangential velocity of the first point, v1 = 6 cm/s
We need to find the tangential velocity of a point located at a radius of r2 = 5.3 cm.
Using the formula for tangential velocity:
v = ω * r
where v is the tangential velocity, ω is the angular speed, and r is the radius.
Since the angular speed is constant, we can set up a proportion:
v1 / r1 = v2 / r2
Solving for v2:
v2 = (v1 * r2) / r1
Substituting the given values:
v2 = (6 cm/s * 5.3 cm) / 0.7 cm
v2 = 45.4286 cm/s
Therefore, the speed of the point located 5.3 cm from the center is approximately 45.43 cm/s.