How Do You Calculate Angular Speed from Revolutions Per Second?

In summary, the approximate angular speed of a grindstone spinning at 8.3 rev/s is 52 rad/s. This is calculated by multiplying 2π (the circumference) by the number of revolutions per second, which results in 52.1 rad/s. This is equivalent to 52 rad/s, the correct answer.
  • #1
jjg242
12
0
just hoping to get this double checked:

10. A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?



a. 3.2 rad/s

b. 26 rad/s

c. 52 rad/s

d. 81 rad/s



answer: C, I simply did ; 2*π*8.3 rad/s = 52.1 rad/s. is this correct?
 
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  • #2
It is correct.
 
  • #3
I concur...
 
  • #4
jjg242 said:
just hoping to get this double checked:

10. A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?



a. 3.2 rad/s

b. 26 rad/s

c. 52 rad/s

d. 81 rad/s



answer: C, I simply did ; 2*π*8.3 rad/s = 52.1 rad/s. is this correct?
2 x 3.14 x 8.3 = 52.124
52 rad/s
i think so
 

FAQ: How Do You Calculate Angular Speed from Revolutions Per Second?

What is angular velocity?

Angular velocity is a measure of how fast an object is rotating around a fixed axis. It is typically represented by the Greek letter omega (ω) and is measured in radians per second (rad/s).

How is angular velocity calculated?

Angular velocity is calculated by dividing the change in angular displacement by the change in time. It can also be calculated by dividing the linear velocity by the radius of the circular motion.

What is the difference between angular velocity and linear velocity?

Angular velocity measures the rate of change of angular displacement, while linear velocity measures the rate of change of linear displacement. Angular velocity is measured in radians per second, while linear velocity is measured in meters per second.

How does angular velocity affect rotational motion?

Angular velocity directly affects rotational motion by determining the speed and direction of the rotation. The larger the angular velocity, the faster the rotation will be. A change in angular velocity can also change the direction of the rotation.

What are some real-world applications of angular velocity?

Angular velocity is used in various fields such as physics, engineering, and astronomy. It is used to calculate the motion of objects in circular orbits, the rotation of wheels in vehicles, and the spin of objects such as tops or gyroscopes. It is also used in sports, such as the spin of a basketball or the rotation of a figure skater.

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