mike holds his hammer by an unbreakable leather strap. The handle and strap are 53.25 centimeters long, combined. Let’s assume that the hammer has all the mass is in the head of the hammer and that the handle and strap have no mass.

a: mike grabs his hammer by the end of the strap and spins it four and a half times in one second. What is the centripetal acceleration of the hammer?

b: mike exerts a force of 8,173.5 Newtons to spin his hammer. What is the mass of the hammer?

The centripetal acceleration of the hammer can be found using a formula. The mass of the hammer can be calculated using Newton's second law of motion.

Centripetal acceleration is the acceleration experienced by an object moving in a circular path.

It is given by the formula centripetal acceleration = (velocity)^2 / radius.

In this case, the velocity is the distance traveled per unit time (53.25 cm/rotation) multiplied by the number of rotations per second (4.5 rotations/s).

The radius can be found as half the length of the handle and strap combined.

To find the mass of the hammer, we can use Newton's second law of motion , which states that force is equal to mass times acceleration (force = mass x acceleration).

Rearranging the equation, we have mass = force / acceleration.

Plugging in the given force and the centripetal acceleration calculated in part a, we can find the mass of the hammer.

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