physics homework due by 48 hours

Homework Week 6 Physics I Name____________________________________________

Make sure you include given, all the steps of the solution, units, correct sigfigs together with diagrams and the right solutions if you expect full credit!

1. A Ferris wheel with a diameter of 28.0 m makes one complete revolution in 28.0 s.

Given:

a) What is the linear speed of a rider on the wheel?

b) What is the magnitude of the centripetal acceleration of a rider?

2. A 2.0 kg ball on a 0.8 m long string is spun in a circle with a velocity of 8 m/s. What is its centripetal force and centripetal acceleration?

Given:

3. A wrench is used to loosen a bolt. If a torque of 55 Nm is required to loosen the bolt and the person is only capable of exerting a maximum force of 77 N, what is the minimum lever arm needed to loosen the bolt?

Given:

4. If an ice skater spins three times each second with her arms straight out and tucks them in to cut her rotational inertia in half, how many rotations per second will result? Support your answer.

5. A passenger on a Ferris wheel moves in a vertical circle of radius R= 8.0m with constant speed v. If the wheel makes one revolution in 10.0 s, what is the linear speed v? What is the angular speed ω?

Given:

6. A small car with mass m and a large car with mass 2m drive around a highway curve of radius R with the same speed v. As they travel around the curve, their accelerations are (explain the answer with detailed explanation or calculations!): (a) equal (b) along the direction of motion (c) in the ratio of 2 to 1 (d) zero

7. Nancy has a mass of 60 kg and sits on the very end of a 3.00 m long plank pivoted in the middle. How much torque must her co-worker provide on the other end of the plank in order to keep Nancy from falling on the ground?

Given: Diagram:

8. What is the linear velocity of the center of a circle of radius 1 m rotating with angular velocity 2 rad/s?

9. An object moving in a circle of radius 2 m accelerates at a rate of 10 m/s2. What is the angular acceleration of the object?

Given:

10. An object travels a distance of 2 m, making a complete revolution around a circle. What is the radius of the circle?

Given: