Your boss at the cut-rate cuckoo clock company wants to save money on materials. you are asked to reduce the balance wheel, which is cylindrical, dimensions to one-third their original values. assume the new wheel has the same density and the same coil spring (thus the same torsion constant) as the original.

a. would the frequency of the angular simple harmonic motion (shm) of the balance wheel increase or decrease if the dimensions of the balance wheel were changed as described?
b. by what factor would the frequency of the angular shm of the balance wheel change?

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

attach the statements so i can answer : )

the answer is 12 as i may remember

: )