Final answer:
To calculate the angle through which the wheel turns in 1 second, convert the rate of revolution per minute to radians per second using the formula: Angular velocity (in radians per second) = Rate of revolution per minute × 2π / 60. Plug in the values and simplify to find the angular velocity. The wheel will turn through an angle of π / 6 radians in 1 second.
Step-by-step explanation:
To calculate the angle through which the wheel turns in 1 second, we need to convert the rate of revolution per minute to radians per second. Since 1 revolution is equal to 2π radians, we can use the formula:
Angular velocity (in radians per second) = Rate of revolution per minute × 2π / 60
Plugging in the values, we get:
Angular velocity = 5 revolutions per minute × 2π / 60 = 10π / 60 = π / 6 radians per second
Therefore, in 1 second, the wheel will turn through an angle of π / 6 radians.