How do I convert v^2/r into v?

Thread starter AnonymousTeen
Start date Jun 12, 2013

In summary, converting v^2/r into v allows us to calculate the speed of an object moving in a circular path based on its radius and centripetal acceleration. This is done using the equation v = √(v^2/r) or v = (v^2/r)^1/2. An example of this can be seen in a car moving in a circular path with a radius of 10 meters and a centripetal acceleration of 20 m/s^2, resulting in a speed of 4√2 m/s. This formula is only applicable to circular motion, and the units for v^2/r are m/s^2 while the units for v are m/s.

Jun 12, 2013

AnonymousTeen

Homework Statement

Can someone please walk me through the carrying to get the value of v? I am really lost when it comes to this..

Homework Equations

The Attempt at a Solution

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Jun 12, 2013

AnonymousTeen

and sorry for the improper formatting..

1. How do you convert v^2/r into v?

To convert v^2/r into v, you can use the equation v = √(v^2/r). This can also be written as v = (v^2/r)^1/2.

2. What is the significance of converting v^2/r into v?

Converting v^2/r into v is important because it allows us to calculate the speed or velocity (v) of an object moving in a circular path based on its radius (r) and the centripetal acceleration (v^2/r).

3. Can you give an example of converting v^2/r into v?

Sure, let's say we have a car moving in a circular path with a radius of 10 meters and a centripetal acceleration of 20 m/s^2. To find the speed (v) of the car, we can use the formula v = (v^2/r)^1/2. Plugging in the values, we get v = (√(20^2/10)) = 4√2 m/s.

4. Is converting v^2/r into v only applicable to circular motion?

Yes, this formula is specifically used for calculating the speed of an object moving in a circular path. For other types of motion, different equations will be used.

5. What are the units for v^2/r and v?

The units for v^2/r are m/s^2 (meters per second squared) and the units for v are m/s (meters per second), as speed is a measure of distance over time.