Period = 0.202s/rev.
V=(1/0.202)rev/s * 6.28rad/rev=31.1 rad/s.
V=(1/0.202)rev/s * 6.28rad/rev=31.1 rad/s.
Angular Speed = 2Ï€ / Period
Given:
Period (T) = 2.02E-1 s
Using the formula, we can calculate the angular speed:
Angular Speed = 2Ï€ / 2.02E-1
Angular Speed = 2Ï€ / 0.202
Angular Speed ≈ 31.16 radians per second
Angular speed, represented by the symbol ω (omega), is defined as the rate at which an object rotates or moves around a circular path. It is measured in radians per second (rad/s).
The formula to calculate angular speed is:
ω = 2π / T
where:
- ω is the angular speed,
- π (pi) is a mathematical constant approximately equal to 3.14159, and
- T is the period of rotation.
Given that the period T = 2.02E-1 s (0.202 s), we can substitute this value into the formula to calculate the angular speed.
ω = 2π / T
= 2Ï€ / 0.202
≈ 9.854 rad/s
Therefore, the angular speed of the disk is approximately 9.854 rad/s.