High School

A cylindrical part with a diameter of 50 mm is rotating at 600 revolutions per minute (rpm). What is the surface speed?

A. about 94 m/min (meters per minute)
B. about 94 mm/min
C. about 94 mm/sec

Answer :

The surface speed of a cylindrical part with a 50 mm diameter rotating at 600 rpm is calculated by finding the circumference and multiplying by rpm, resulting in approximately 94 m/min. Therefore, the correct option is A.

The surface speed of a cylindrical part rotating at 600 revolutions per minute (rpm) with a diameter of 50 mm can be calculated using the formula for the circumference of a circle multiplied by the number of revolutions per minute. The formula for circumference is C = (pi) * d, where d is the diameter.

The diameter given is 50 mm, so C = (pi) * 50 mm. Therefore, the circumference C is approximately 157 mm (since (pi) is approximately 3.14).

Surface speed = circumference * RPM = 157 mm * 600 min⁻¹. Converting this to meters, we have 0.157 m * 600 min⁻¹ = 94.2 m/min. Thus, the correct answer to the student's question is (A) about 94 m/min.