- #1
jumi
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This isn't really a homework problem, more of a "I'm-building-something-and-need-to-make-sure-the-physics-are-right-before-I-build-something-impractical" problem.
(I grouped it all together, easier for me to not separate each segment)
I need to spin a motor handle/crank at 25,000 rpm. I need to show that using a single flywheel attached to the spinning motor handle is unpractical.
I know that 25,000rpm is ~2618 rad/sec; this value should be angular frequency, ω, correct?
Then relating that to torque, tau = Iω, where I = mr^2 for a ring of radius r and mass m. And torque also equals tau = rFsinθ, where θ = 90°.
Therefore, Iω = rF
and F = mrω.
Assuming m = 1 kg, r = 0.5 m, F = ~1309 N
Therefore torque = ~655 Nm.
Are the physics relationships correct?
Thanks in advance.
EDIT: Also, tangential velocity is v = rω, correct?
Homework Statement
Homework Equations
The Attempt at a Solution
(I grouped it all together, easier for me to not separate each segment)
I need to spin a motor handle/crank at 25,000 rpm. I need to show that using a single flywheel attached to the spinning motor handle is unpractical.
I know that 25,000rpm is ~2618 rad/sec; this value should be angular frequency, ω, correct?
Then relating that to torque, tau = Iω, where I = mr^2 for a ring of radius r and mass m. And torque also equals tau = rFsinθ, where θ = 90°.
Therefore, Iω = rF
and F = mrω.
Assuming m = 1 kg, r = 0.5 m, F = ~1309 N
Therefore torque = ~655 Nm.
Are the physics relationships correct?
Thanks in advance.
EDIT: Also, tangential velocity is v = rω, correct?
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