Purchase Solution

# Physics: Linear vs Rotational Speed, Bicycle Speed, and Rotation

Not what you're looking for?

1. Explain the difference between linear speed and rotational speed. Include formula difference and how rotational speed is changed to linear speed.

2. A bicycle has wheels with a 30-centimeter radius. If smaller wheels with a 25-centimeter radius are installed, what is the change in linear speed of the bicycle if the wheels rotate at 1 revolution per second?

3. In terms of rotational inertia, explain why:
a. It's hard to walk without bending you knees.
b. Short-legged people step more quickly than lopng-legged people do.
c. You can swing a basesball bat faster than a long one of the same weight.

4. a. Explain how skaters can quickly go from a slow to fast spin and vice versa
b. What happens to their angular velocity and moment of inertia?
c. Is an external torque required? Explain.

5. What is a gyroscope and how is it used as a navigational aid?

6. To tighten a bolt, you push with a force of 80 newtons at the end of a wrench handle that is 0.25 meters from the axis of the bolt.
a. What torgue are you exerting?
b. If you move your hand inward to be only 0.10 meters from the bolt, what force do you have to exert to acheive the same torque?
c. Do your answers depend on the direction of your push relative to the direction of the wrench handle?

##### Solution Summary

Step by step solutions to all the problems is provided.

##### Solution Preview

1. Explain the difference between linear speed and rotational speed. Include formula difference and how rotational speed is changed to linear speed.

Solution:
Linear speed is the measure of linear distance covered by an object in a unit of time. It is measured in meter per seconds or kilometers per hour. While rotational speed is measured in revolutions per second or radians per seconds. It is result of application of torque.

2. A bicycle has wheels with a 30-centimeter radius. If smaller wheels with a 25-centimeter radius are installed, what is the change in linear speed of the bicycle if the wheels rotate at 1 revolution per second?

Solution:
1 revolution per second = 2&#61552; radians per second
Linear speed when radius is 30 cm. = 30*2&#61552; = 30*2*3.14 = 188.4
Linear speed when radius is 25 cm. = 25*2&#61552; = 25*2*3.14 ...

Solution provided by:
###### Education
• BSc, Meerut University
• MSc, Meerut University
• MPhil, Institute of Advanced Studies
• MSc, AIT
###### Recent Feedback
• "Perfect, thank you so much!!! I will definitely request you in the future! You are amazing!"
• "Thank you. "
• "Thank you so much I have two more that I need your help with if your available."
• "Thank you, I was wondering why you rejected me the first time."
• "Thanks again."

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.