we know that 1 rpm = [tex]\frac{2\pi rad}{60 sec}[/tex]
w = angular speed of cd = 355 rpm = [tex]\frac{2 (355) \pi rad}{60 sec}[/tex] = 37.2 [tex]\frac{rad}{sec}[/tex]
r = distance from the center for piece of dust = 4.5 cm = 0.045 m
v = speed of motion for piece of dust = ?
Speed is given as
v = r w
inserting the values
v = (0.045) (37.2)
v = 1.67 [tex]\frac{m}{sec}[/tex]
t = time of travel for piece of dust = 8 min = 8 x 60 sec = 480 sec (Since 1 min = 60 s)
d = distance traveled by piece of dust = ?
Distance traveled by piece of dust is given as
d = v t
inserting the values
d = (1.67) (480)
d = 801.6 m
