(part 1 of 4) A high-speed sander has a disk of radius 7.9 cm that rotates about
ID: 1372090 • Letter: #
Question
(part 1 of 4) A high-speed sander has a disk of radius 7.9 cm that rotates about its axis at a constant rate of 1903 rev/min. Determine the angular speed of the disk. Answer in units of rad/s.
(part 2 of 4) Determine the linear speed of a point 3.12 cm from the disk’s center. Answer in units of m/s.
(part 3 of 4) Determine the centripetal acceleration of a point on the rim. Answer in units of m/s 2 .
(part 4 of 4) Determine the total distance traveled by a point on the rim in 2.69 s. Answer in units of m.
Explanation / Answer
1) angular speed, w =1903 rev/min
= 1903*2*pi/60 rad/s
= 199.28 rad/s
2) v = r*w
= 0.0312*199.28
= 6.217 m/s
3) a_centripetal = R*w^2
= 0.079*199.28^2
= 3137.3 m/s^2
4) distance travelled, d = v*t
= (R*w)*t
= (0.079*199.28)*2.69
= 43.35 m
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