Calculate Time to Complete 1 Revolution from 3.0 rads/s - Help Guide

[blackout85]

If a wheel is turning at 3.0 rads/s, the time it takes to complete one revolution is about:

3.0 rads/s X 1 revolution/6.28 rads = .477 revolutions/s
I just need to get the number of seconds to complete one revolution. Please explain how to go about this just step wise. Thank you.


The rotational speed of the minute hand of a watch is:

w= anglular displacement/ time
w=2pi radian in a circle/ 3600 seconds in one rotation
The reason I put 3600 seconds in the denominator is because it takes that many seconds for the minute hand of a clock to make one full revolution

60minutes X 60second= 3600

Thanks for the help

 

[Andrew Mason]

If a wheel is turning at 3.0 rads/s, the time it takes to complete one revolution is about:

3.0 rads/s X 1 revolution/6.28 rads = .477 revolutions/s
I just need to get the number of seconds to complete one revolution. Please explain how to go about this just step wise. Thank you.

Use: $\omega = 2\pi f = 2\pi/T$ where $\omega$ is the angular speed in radians/sec, f is the frequency or number of revolutions/sec and T is the time for one revolution.

AM

 

[m2003]

To calculate the time it takes to complete one revolution from a given rotational speed, we can use the formula:

Time = 2π / Angular Speed

In this case, the angular speed is 3.0 rads/s, so the time to complete one revolution would be:

Time = 2π / 3.0 rads/s = 0.477 seconds

To break this down step by step:

1. Start with the given rotational speed of 3.0 rads/s.

2. Use the formula Time = 2π / Angular Speed.

3. Plug in the given rotational speed of 3.0 rads/s.

4. Simplify the equation by dividing 2π by 3.0. This gives us a time of 0.477 seconds.

5. This means that it takes approximately 0.477 seconds for the wheel to complete one full revolution at a speed of 3.0 rads/s.

I hope this helps! Remember to always include units in your calculations to ensure accuracy.