Answer:
1. 
2.
3. 
4. 
Explanation:
1. The frequency of rotation is given by:

Where:
ω: is the angular speed = 50 rotations (revolutions) in 25 s.
We need to convert the units of ω.

Now, the frequency is:

2. The frequency is:
We know:
5 laps = 5 revolutions
t: time = 450 s
3. The frequency of the pendulum is:

4. We have:
θ: number of revolutions = 48 rev
f = 12 Hz
t =?
The time can be calculated as follows:


I hope it helps you!
Answer:N=13.53 rpm
Explanation:
Given
radius 
Centripetal acceleration 
and centripetal acceleration 
where 



and 


Answer:
2.3687599 m/s
0.91106 m/s
0.617213012 J
Explanation:
f = Frequency = 
A = Amplitude = 0.13 m
k = Spring constant
m = Mass of object = 0.22 kg
Angular velocity is given by

Velocity is given by

Speed when it passes the equilibrium point is 2.3687599 m/s
Frequency is given by

x = Displacement = 0.12 m
In this system the energies are conserved

The speed when it is 0.12 m from equilibrium is 0.91106 m/s
The energy in the system is given by

The total energy of the system is 0.617213012 J
Answer:
1.01 × 1013 picometres
Explanation:
multiply the length value by 1e+9