A large block P executes horizontal simple harmonic motion as it slides across a frictionless surface with a frequency f = 0.3 Hz. (a) What is the angular velocity of this system?
w=2PI *frequency.
goodness, you better memorize this.
To find the angular velocity of the system, we first need to understand the relationship between the frequency and angular velocity in simple harmonic motion.
In simple harmonic motion, an object moves back and forth with a frequency given by:
f = 1/T
where T is the period of the motion. The period can also be expressed as the reciprocal of the angular velocity:
T = 1/ω
where ω is the angular velocity.
To find the relation between the frequency and the angular velocity, we can rearrange the above equations:
f = ω/2π
ω = 2πf
Now, we can substitute the given frequency f = 0.3 Hz into the equation to find the angular velocity:
ω = 2π * 0.3 Hz
= 0.6π rad/s
Therefore, the angular velocity of the system is 0.6π rad/s.