What is the centripetal acceleration of the hammer in circular motion?

In summary, circular motion is a type of motion in which an object moves along a circular path, either horizontally or vertically. There are two types of circular motion: uniform and non-uniform. Uniform circular motion is when an object moves at a constant speed along the circular path, while non-uniform circular motion is when the speed changes. The centripetal force in circular motion can be calculated using the formula F = mv²/r. Tangential and centripetal acceleration are related by the formula a = v²/r. Inertia plays a role in circular motion by resisting the change in direction towards the center of the circle caused by the centripetal force.
  • #1
Coco12
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Homework Statement



An athlete whirls a 7.00 kg hammer tied to the end of a 1.3 m chain in horizontal chain. The hammer makes one complete revolution in 1.0 s.
(A) What is the centripetal acceleration of the hammer? 51 m/s2



Homework Equations


ac=4pi^2*r/r^2


The Attempt at a Solution


I know the formula for centripetal acceleration is as above. but how is the answer 51?
I put it in my calculator and did not get that...
4(3.14^2)(1.3)/1.3^2)

What am i doing wrong??
 
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  • #2

1. What is circular motion?

Circular motion is a type of motion in which an object moves along a circular path. This path can be either horizontal or vertical.

2. What is the difference between uniform and non-uniform circular motion?

Uniform circular motion is when an object moves at a constant speed along a circular path, while non-uniform circular motion is when the speed of the object changes along the circular path.

3. How do you calculate the centripetal force in circular motion?

The centripetal force can be calculated using the formula F = mv²/r, where F is the centripetal force, m is the mass of the object, v is the velocity, and r is the radius of the circular path.

4. What is the relationship between tangential and centripetal acceleration in circular motion?

Tangential acceleration is the change in velocity of an object in the direction tangent to its circular path, while centripetal acceleration is the change in velocity of an object towards the center of the circular path. The two are related by the formula a = v²/r, where a is the tangential acceleration, v is the velocity, and r is the radius of the circular path.

5. What is the role of inertia in circular motion?

Inertia is the tendency of an object to resist changes in its state of motion. In circular motion, inertia keeps the object moving in a circular path, as it resists the change in direction towards the center of the circle caused by the centripetal force.

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