Final answer:
The centripetal force exerted on a 4 kg wind turbine blade with a radius of 100 meters rotating at 0.5 rev/s is calculated to be 3943.95 newtons.
Step-by-step explanation:
Calculating Centripetal Force
To calculate the centripetal force exerted on the end of a wind turbine blade, we can use the formula for centripetal force: F = m × (v^2 / r). This formula states that the centripetal force (F) is the product of mass (m) and the square of velocity (v) divided by the radius (r). However, since we are given the rotational speed in revolutions per second (rev/s) rather than linear velocity, we need to convert it first. One revolution is the circumference of the circle, C = 2πr, where r is the radius.
First, let's find the linear velocity of the blade tip:
Now, we can calculate the centripetal force:
The centripetal force at the end of the 100 m radius wind turbine blade rotating at 0.5 rev/s with a mass of 4 kg is 3943.95 newtons (N).