Answer:
The speed of the speck of dust would be approximately 0.188 m/s
Step-by-step explanation:
We can use the formula:
v = ωr
where:
v = linear velocity
ω = angular velocity
r = distance from the axis of rotation
Firstly, we need to convert the angular velocity from rpm to rad/s. We can do this by multiplying the rpm value by 2π/60, which is the conversion factor for rpm to rad/s:
ω = 45 rpm × 2π/60 = 4.71 rad/s
Next, we can add the calculated values into the formula:
v = ωr = (4.71 rad/s)(0.04 m) = 0.1884 m/s
Rounding up to 3 decimal places, the speck of dust is moving at approximately 0.188 m/s.