Answer:
1.41 m/s, 7.85 rad/s
Explanation:
We can start by calculating the tangential velocity, which is given by:
where
r = 18 cm = 0.18 m is the radius of the circumference
T = 0.8 s is the period
Substituting,
Now we can also calculate the angular velocity, which is given by:
where again,
T = 0.8 s is the period
Substituting,
Explanation:
We have,
Spring constant of the spring, k = 165 N/m
Mass, m = 2 kg
It is required to find the period of the mass-spring system. For the spring mass system, the period is given by :
The frequency of vibration is reciprocal of its time period. So,
So, the period of the mass-spring system is 0.69 s and frequency is 1.44 Hz.