- #1
TheAustrian
- 165
- 7
Hi all... I'm new here...
this is not a homework question, I'm just solving practice questions for exam preparation
Two wheels with masses M1 = 2 kg and M2 = 4 kg are connected.
The ratio is R1 = 5 cm and R2 = 10 cm
Considering an angular velocity of ωo = 10rads-1
for the small wheel and a constant angular acceleration of α = 1
rads-2
What will be the torque τ required to stop the system after 20 s within a
period of 2 s?
T1ω2=T2ω1
and
P = E/t
I already found the energies of the Gears,
E1= 1.125J and E2=2.25J
but I have no idea how to find the torque needed to stop them in 2 seconds. I'm not even sure if I'm on the right track. I have like 3-4 A4 sheets worth of work all scribbled on/crossed out...
actually my problem is that if I work out the Torques, their ratio comes out at 0.25 rather than 0.5, so I'm not sure what to do.
Homework Statement
this is not a homework question, I'm just solving practice questions for exam preparation
Two wheels with masses M1 = 2 kg and M2 = 4 kg are connected.
The ratio is R1 = 5 cm and R2 = 10 cm
Considering an angular velocity of ωo = 10rads-1
for the small wheel and a constant angular acceleration of α = 1
rads-2
What will be the torque τ required to stop the system after 20 s within a
period of 2 s?
Homework Equations
T1ω2=T2ω1
and
P = E/t
The Attempt at a Solution
I already found the energies of the Gears,
E1= 1.125J and E2=2.25J
but I have no idea how to find the torque needed to stop them in 2 seconds. I'm not even sure if I'm on the right track. I have like 3-4 A4 sheets worth of work all scribbled on/crossed out...
actually my problem is that if I work out the Torques, their ratio comes out at 0.25 rather than 0.5, so I'm not sure what to do.