Question
A capstan on a magnetic tape drive rotates at 3600 rad/min and drives the tape at a speed of 45.0 m/min. Find the diameter of the capstan in millimeters
Answers
Steve
arc length = tape length
s = rθ
ds/dt = r dθ/dt
45m/min = r * 3600/min
45m/3600 = r
r = 45000mm/3600
r = 12.5 mm
s = rθ
ds/dt = r dθ/dt
45m/min = r * 3600/min
45m/3600 = r
r = 45000mm/3600
r = 12.5 mm