You need to design an industrial turntable that is 56.0 cm in diameter and has a kinetic energy of 0.260 J when turning at 37.0 rpm (rev/min). Required:
a. What must be the moment of inertia of the turntable about the rotation axis?
b. If your workshop makes this turntable in the shape of a uniform solid disk, what must be its mass?

Determine the maximum r-value of the polar equation r =3+3 cos 0

(2) (a) you have a simple circuit that consists of only a battery (δvbat=1.5v) and two resistors with resistance r1=10ω and r2=5ω, connected in series with each other. what is the current running through the battery? (b) you re-arrange your circuit so now r2 is attached in parallel to r1 rather than in series. what is the current running through the battery? (c) you add an additional resistor r3=7ω on the same branch as r2. what is the current running through the battery? (d) what is the power dissipated in r3?

Atank is filled with an ideal gas at 400 k and pressure of 1.00 atm . part a the tank is heated until the pressure of the gas in the tank doubles. what is the temperature of the gas?