Answer :
The angular speed of the wheel, in radians per second is equal to 52.37 rad/sec.
What is an angular speed?
In Mathematics, an angular speed can be defined as the rate of change of angular displacement of a physical object with respect to time. This ultimately implies that, angular speed is a measure of how fast and quickly a physical object revolves or rotates relative to another point or how its angular position changes with respect to time.
Mathematically, the angular speed of a physical object can be calculated by using this formula:
ω = 2πF or ω = Δθ/Δt
Where:
- ω represents the angular speed.
- F is the frequency.
- π is equal to 3.142
- Δt is the change in time.
Substituting the given parameters into the angular speed formula, we have;
Angular speed of the wheel, ω = 2 × 3.142 × 500
Angular speed of the wheel, ω = 3142 rad/min
In rad/sec, we would divide by 60;
Angular speed of the wheel, ω = 3142/60
Angular speed of the wheel, ω = 52.37 rad/sec.
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