# Tricky problem is killing me

Hi, I actually have a few questions that have been driving me insane. I been at this forever so any help is greatly appreciated!

1. A leaky faucet drips 56 times in 30.0s. What is the frequency of the dripping?

a. 0.54 Hz
b. 0.43 Hz
c. 1.9 Hz
d. 2.3 Hz

2. A rotating merry-go-round has an angular velocity of 0.184 rad/s Find the period of rotation of the merry-go-round.

a. 34.1 s
b. 13.6 s
c. 5.43 s
d. 3.91 s

3. What happens when a periodic driving force is applied to a vibrating system?

a. The system will stop vibrating and finally come to a stop.
b. The system will vibrate at the frequency of the driving force.
c. The system will vibrate at its natural frequency.
d. The system will exhibit chaotic motion.
e. It will vibrate at some multiple of the driving frequency (call a harmonic or "overtone").

4. If both the mass of a simple pendulum and its length are doubled, the period will

a. be unchanged.
b. increase by a factor of 1.4
c. increase by a factor of 4.
d. increase by a factor of 2.
e. increase by a factor of 0.71.

5. An object undergoing simple harmonic motion has an amplitude of 2.3m If the maximum velocity of the object is 10 m/s what is the object's angular frequency?

6. A mass on a spring has an angular oscillation frequency of 2.56 rad/s. The spring constant is 27.2 N/m and the system's kinetic energy is 2.92 J when t= 1.56s What is the oscillation amplitude? Assume that ∅= 0.00

a. 52.9 cm
b. 70.1 cm
c. 40.0 cm
d. 61.5 cm

Matterwave