angular velocity of a flywheel

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donniemateno

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Dec 17, 2009
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i got a q on my homework am struggling with

q. a flywheel of 40 kg is used to store the braking energy calculated above (worked out maximum retardation force to be 11772 N and velocity to be 87.3 km/h), the flywheel is 400mm in diameter. calculate the angular velocity of the flywheel.

im not sure of the formula i need for this particular equation. im aware i have to turn my 400mm into metres so 0.4 m and divide it by 2. but how do i use the other info i have?

thanks
 
i did the square root of 588000 because i had 588kj so change to joules
then divide by 0.5 x 40 squared which equals 27.11 rads
 
donniemateno said:
i got a q on my homework am struggling with

q. a flywheel of 40 kg is used to store the braking energy calculated above (worked out maximum retardation force to be 11772 N and velocity to be 87.3 km/h), the flywheel is 400mm in diameter. calculate the angular velocity of the flywheel.

im not sure of the formula i need for this particular equation. im aware i have to turn my 400mm into metres so 0.4 m and divide it by 2. but how do i use the other info i have?

thanks
Click to expand...
\(\displaystyle E = \frac{1}{2}Iw^2 = \frac{1}{2}\left (\frac{1}{2}Mr^2\right )w^2 = \frac{1}{4}Mr^2w^2\)

\(\displaystyle w = \frac{2}{r}\sqrt{\frac{E}{M}}\)
 
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