A string cn hold a maximum load of 500kg if it has a lenght of 5m and a load of 40kg. Calculate(a. The maximum linear velocity (b. The maximum angular velocity (c. The time taken to complete 1 revolution.

To calculate the maximum linear velocity of the string, we can use the formula:

Linear velocity = Load / Length

(a) Linear velocity = 40 kg / 5 m = 8 m/s

To calculate the maximum angular velocity, we need to find the radius (r) of the circle formed by the string's length.

The formula to find the radius is:

Circumference = 2 * π * r

Since the length of the string is the circumference of the circle, we can rearrange the formula to solve for the radius:

r = Length / (2 * π)

(b) r = 5 m / (2 * π) ≈ 0.7958 m

The formula for angular velocity is:

Angular velocity = Linear velocity / r

Angular velocity = 8 m/s / 0.7958 m ≈ 10.059 rad/s

To calculate the time taken to complete one revolution, we need to find the period (T) of the circular motion. The period is the time taken to complete one full revolution.

The formula for period is:

Period = 1 / Angular velocity

(c) Period = 1 / 10.059 rad/s ≈ 0.0994 s

Therefore, the time taken to complete one revolution is approximately 0.0994 seconds.