angular velocity

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angular velocity

Postby 86yamvmax » Wed Mar 25, 2009 8:15 pm

Given the formula P=Tw where;

P=power
T=torque
w=angular velocity

I have 80 ft-lbs of torque @ 420 ft/min (Tw)

what is the power?
is ft/min a correct unit for angular velocity?
I came up with P=33600 but don't know what units to assign

Kirk
86yamvmax
 

Re: angular velocity

Postby Guest » Wed Mar 25, 2009 9:18 pm

86yamvmax wrote:Given the formula P=Tw where;

P=power
T=torque
w=angular velocity

I have 80 ft-lbs of torque @ 420 ft/min (Tw)

what is the power?
is ft/min a correct unit for angular velocity?
I came up with P=33600 but don't know what units to assign

Kirk


As stated, there is insufficient information to solve. The proper units of angular velocity are radians per second. (There are 2*pi radians in 1 revolution).

What is the physical interpretation of the 420 ft/min? Is it the surface speed of a wheel, or the speed of a belt on a pulley? If you know the radius, you could determine the angular velocity.

Note that 420 ft/min is 7 ft/sec. If this linear velocity is the also the surface velocity of some wheel or pulley, then divide by the radius (in ft) to get angular velocity in rad/s.
Guest
 

Postby Guest » Wed Mar 25, 2009 9:45 pm

my rpm is 15 so...
angular velocity=0.785 rad/s

then P=0.785*80=62.8?

62.8 is watts?
Guest
 


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