How Do You Calculate Angular Speed from Revolutions Per Second?

Click For Summary
To calculate angular speed from revolutions per second, the formula used is angular speed (rad/s) = 2π × revolutions per second. For a grindstone spinning at 8.3 rev/s, the calculation yields approximately 52.1 rad/s. The consensus among participants confirms that the answer is indeed 52 rad/s. This method effectively converts revolutions per second into radians per second. The discussion validates the calculation as correct.
jjg242
Messages
12
Reaction score
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?
 
Physics news on Phys.org
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
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 1 ·
Replies
1
Views
4K
Replies
3
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
10
Views
2K
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K