Asked by anonymous
A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.700 rad/seconds squared. How many revolutions does it make before stopping?
If only I could find the angular velocity first, in radians/second...
I'm assuming 0.700 rad/second squared is angular acceleration, and so far I have only been taught equations to find angular acceleration with time, and I don't know time.
How do I find angular velocity given this information? Once I get there, I can convert it to revolutions.
If only I could find the angular velocity first, in radians/second...
I'm assuming 0.700 rad/second squared is angular acceleration, and so far I have only been taught equations to find angular acceleration with time, and I don't know time.
How do I find angular velocity given this information? Once I get there, I can convert it to revolutions.
Answers
Answered by
bobpursley
Huh? Initial angular velocity is given at 32 radians/sec. If you want it in rev/sec, divide by 2PI. But you dont have to do that.
finalw=0=32rad/sec -.7rad/sec^2*t
time=32/.7 seconds
displacement= avgw*time= 16rev/sec*32/.7 sec
revs= displacement in radians/2PI
finalw=0=32rad/sec -.7rad/sec^2*t
time=32/.7 seconds
displacement= avgw*time= 16rev/sec*32/.7 sec
revs= displacement in radians/2PI
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