Question

Sebastion participates in the Hammer Throw competition. He holds the end of the wire that is attached to the hammer and begins spinning in a circle. The 7.21- kg hammer begins moving in a roughly -horizontal circle with a radius of 2.11 m. Before being launched, it completes a revolution in 1.24 seconds. Calculate the... acceleration of the hammer?

Answer 1

The acceleration of the hammer in the Hammer Throw competition is 53.72 m/s².

Step-by-step explanation:

The acceleration of the hammer can be calculated using the formula:

Centripetal acceleration = (Velocity2) / Radius

First, we need to find the velocity of the hammer. We can determine the circumference of the circle by multiplying the radius with 2π:

Circumference = 2π x Radius = 2π x 2.11m ≈ 13.27 m

Since the hammer completes one revolution in 1.24 seconds, the velocity can be calculated by dividing the circumference by the time:

Velocity = Circumference / Time = 13.27 m / 1.24 s ≈ 10.68 m/s

Now, we can substitute the values into the formula:

Centripetal acceleration = (10.68 m/s)2 / 2.11 m ≈ 53.72 m/s2

Therefore, the acceleration of the hammer is 53.72 m/s2.