How Is Angular Speed Calculated for a Chain Saw Sprocket?

AI Thread Summary
To calculate the angular speed of a chain saw sprocket, the relationship between linear speed and angular speed is used, expressed as Vt = ω/r. Given a radius of 0.038 m and a linear speed of 6.5 m/s, the formula leads to ω = Vt * r. The initial calculation yielded an angular speed of 0.247 rev/s, which was later identified as incorrect. The correct formula to use is V = ω × R, emphasizing the need for accurate application of the equation.
wallace13
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The drawing (attached) shows the blade of a chain saw. The rotating sprocket tip at the end of the guide bar has a radius of 3.8 10-2 m. The linear speed of a chain link at point A is 6.5 m/s. Find the angular speed of the sprocket tip in rev/s.


Vt= w/r


6.5= w/ .038

w=.247 rev/ sec

.247 was incorrect and I am unsure of what I am missing from my equation
 
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hmm your formula is wrong

V=\omega \times R
 

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