How Do You Calculate Angular Speed from Revolutions Per Second?

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SUMMARY

The angular speed of a grindstone spinning at 8.3 revolutions per second is calculated to be approximately 52.1 rad/s. This is derived using the formula for angular speed, which is 2π times the revolutions per second. The correct answer from the provided options is C, 52 rad/s, confirming the calculation is accurate.

PREREQUISITES
  • Understanding of angular speed and its calculation
  • Familiarity with the formula for converting revolutions per second to radians per second
  • Basic knowledge of trigonometric constants, specifically π
  • Ability to perform unit conversions in physics
NEXT STEPS
  • Study the relationship between linear speed and angular speed in rotational motion
  • Learn about the applications of angular speed in real-world scenarios
  • Explore the concept of angular acceleration and its calculations
  • Investigate the use of angular speed in different engineering fields
USEFUL FOR

Students in physics, engineers working with rotational systems, and anyone interested in understanding the principles of angular motion and speed calculations.

jjg242
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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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It is correct.
 
I concur...
 
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
 

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