This year for thanksgiving my family decided to cook our turkey on a spit. This was a great opportunity for me to apply my physics knowledge to the real world. I was interested in the amount of force that was required to rotate the turkey once from rest. Each rotation took 5 seconds.
- w=2πf
- f=1rot/5s
- w=1.3rad/s
- wf=wo+ αt
- 1.3rad/s= 0+ α5s
- α=0.26 rad/(s^2)
- Στ= αI
- Assuming a turkey's moment of inertia is equal to that of a solid cylinder
- I=(.5)mr^2
- I=(.5)(6.8kg)(0.22m)^2
- I=0.16kgm^2
- Στ= (0.26rad/(s^2))(0.16kgm^2)
- τ=0.0416Nm (Since there is only one torque at work, this is the torque of the force applied by the person)
- τ=rFsinθ
- 0.0416Nm=(0.15m)Fsin90
- F=0.28N
It only took .28N to rotate the turkey once! That's less than 0.07lbs of force.
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