Circular Motion: Solving for Distance Traveled in an Hour

In summary, circular motion is the movement of an object along a circular path with a constant distance from a fixed point. To solve for distance traveled in an hour, the radius of the circle and the speed of the object are needed, and the formula distance = circumference x number of revolutions per hour can be used. This calculation is important for understanding the object's speed and motion, as well as other parameters such as velocity, acceleration, and centripetal force. Real-life examples of circular motion include Ferris wheels, merry-go-rounds, and planetary orbits. Factors that can affect the distance traveled in an hour in circular motion include the radius of the circle, the speed and mass of the object, external forces such as friction and air resistance
  • #1
ataglance05
43
0
CIRCULAR MOTION!

Homework Statement


A wheel 1 meter in diameter is rotating at 100 revolutions per minute along a level stretch. How far down the road does the wheel travel in hour?


Homework Equations


i think...
circularmotion.jpg


The Attempt at a Solution


100 revs=200(pi) radians/60sec * 3600sec=
=10.47 * 3600sec
=3.769*10^4 rads/hr

S=(theta)(r)
S=(theta)(.5 meters)
S=(3.769*10^4 rads/hr)(0.5m)
S=1.88*10^4 m

Please corroborate such undertakings!
 
Physics news on Phys.org
  • #2
You are correct. :approve:
 
  • #3


I can confirm your calculations and solution. Your approach of converting revolutions per minute to radians per hour and then using the formula S=(theta)(r) is correct. Your final answer of 1.88*10^4 meters is the distance traveled by the wheel in one hour. Good job!
 

FAQ: Circular Motion: Solving for Distance Traveled in an Hour

1. What is circular motion?

Circular motion is the movement of an object along a circular path, with a constant distance from a fixed point.

2. How do you solve for distance traveled in an hour in circular motion?

To solve for distance traveled in an hour, you need to know the radius of the circle and the speed of the object. You can then use the formula distance = circumference x number of revolutions per hour. The number of revolutions per hour can be calculated by dividing the speed by the circumference of the circle.

3. What is the importance of calculating distance traveled in an hour in circular motion?

Calculating distance traveled in an hour in circular motion can provide valuable information about the object's speed and motion. It can also be used to calculate other parameters such as velocity, acceleration, and centripetal force.

4. What are some real-life examples of circular motion?

Some real-life examples of circular motion include the motion of a Ferris wheel, the rotation of a merry-go-round, and the orbit of planets around the sun.

5. What factors can affect the distance traveled in an hour in circular motion?

The distance traveled in an hour in circular motion can be affected by the radius of the circle, the speed of the object, and any external forces such as friction or air resistance. The mass of the object and the strength of the centripetal force can also impact the distance traveled.

Similar threads

Uniform Circular Motion - distance
Replies
2
Views
1K
Circular Motion With Constant Angular Acceleration
Replies
3
Views
2K
Designing a Banked, Circular Highway Exit | Help with Homework
Replies
9
Views
2K
Projectile and Uniform Circular Motion
Replies
3
Views
2K
How to calculate angular speed?
Replies
7
Views
2K
Calculating velocity needed for uniform circular motion?
Replies
19
Views
2K
Direction of vector acceleration in circular motion
Replies
13
Views
2K
Circular Motion and Energy Calculations
Replies
11
Views
6K
How Do You Calculate the Moon's Speed and Acceleration in Its Orbit?
Replies
6
Views
3K
Circular Motion with time-dependent radial acceleration
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top