# Angular Velocity: Calculating Revolutions in 4 Seconds

• StephenDoty
In summary, angular velocity is a measure of an object's rotational speed around a fixed point, typically measured in radians per second. It is calculated by dividing the change in angle by the change in time and is represented by the symbol "ω". The unit of measurement for angular velocity is radians per second, represented by "rad/s". To convert to revolutions per second, the formula ω = 2π/T can be used. Angular velocity can also be negative, indicating rotation in the opposite direction.
StephenDoty
How many revolutions does the object make during the first 4 s

well the area under the graph of the angular velocity versus time graph is 60

but I do not know how that helps.

Any help would be appreciated.

Stephen

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do you use the 60/2pi for the number of revolutions
or do you use:
10 for t=1
20 for t= 2, 3, and 4
which adds up to be 70?

,

Thank you for sharing this information about the angular velocity and the time interval of 4 seconds. To answer your question about the number of revolutions made during the first 4 seconds, we need to have more information about the object's initial and final positions. The angular velocity alone does not provide enough information to calculate the number of revolutions.

To accurately determine the number of revolutions, we would need to know the object's initial position and its final position after 4 seconds. This would allow us to calculate the total angle rotated by the object in 4 seconds, and then divide it by the angle of one revolution to determine the number of revolutions made.

Additionally, the area under the angular velocity versus time graph does not directly relate to the number of revolutions. It represents the change in angular displacement over time, but it does not provide the specific information needed to calculate the number of revolutions.

I hope this helps clarify the situation. If you have any further questions, please let me know. Thank you.

## 1. What is angular velocity?

Angular velocity is a measure of how quickly an object is rotating around a fixed point. It is typically measured in radians per second.

## 2. How is angular velocity calculated?

Angular velocity can be calculated by dividing the change in angle (in radians) by the change in time. It is represented by the symbol "ω" and the formula is ω = Δθ/Δt.

## 3. What is the unit of measurement for angular velocity?

The unit of measurement for angular velocity is radians per second, represented by the symbol "rad/s".

## 4. How do you convert angular velocity to revolutions per second?

To convert angular velocity from radians per second to revolutions per second, you can use the formula ω = 2π/ T, where T is the period of rotation in seconds. This will give you the number of revolutions per second.

## 5. Can angular velocity be negative?

Yes, angular velocity can be negative. A negative value for angular velocity indicates that the object is rotating in the opposite direction of a positive value.

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