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you throw a frisbee. Ignoring the translational motion of the frisbee entirely,

ID: 1950098 • Letter: Y

Question

you throw a frisbee. Ignoring the translational motion of the frisbee entirely, and concentrating only on the spin you give the frisbee by snapping your wrist just before you release it, estimate

•the frisbee's angular acceleration during the throw

•the torque you exert on the frisbee during the throw

•the frisbee's rotational kinetic energy at release

As in prior estimates, you're to make no assumptions about the time involved. Suggested quantities to make assumptions about are: the initial and final angular velocities of the frisbee, the angular displacement of the frisbee during the wrist snap, and the mass of the frisbee.

Assumed and calculated quantities should have no more than 2 SF, and all should be justified. Explain your work as you go.

We don't cover rotational kinetic energy until next week, so it's ok to omit the last part of the estimate from your first response, then fill it in next week, after the deadline. Or you can read ahead and figure out the kinetic energy before the deadline.

If you'd like extra practice, you can also calculate estimates of the frisbee's translational (linear) acceleration, the net force you exert on it, and its total kinetic energy. If you complete the required part of this exercise and attempt but don't complete any of the optional parts I just listed, you'll still get full credit for the assignment.

Explanation / Answer

let the mass of the frisbee is =m length of the wrist is =L the force required to thrown the frisbee is =F the linear acceleration of the frisbee is a =F/m the relation between linear acceleration to angular acceleration is a =L   where is angular acceleration there fore angular acceleration is = a/L                                                     =F/mL _________________________________________________________________________ torque = force*perpendicular distance             =F*L             =FL _________________________________________________________________________ moment of inertia of the frisbee is I =mL^2 the rotational kinetic energy of the frisbee is K.E =1/2 I                                                                           =1/2 (mL^2) _________________________________________________________________________ if we had extra particle the total mass is =M let the force required to thrown the frisbee and extra particle is =F1 linear acceleration of the system is a1=F1 / M net force exerted on the extra particle is = F -F1 the rotational kinetic energy in this case is K.E =1/2 (ML^2) where is angular acceleration = F1/ML