What is the linear speed of a tip on the fringe of a 0.35 m diameter grinding wheel rotating at 1650 rpm. ?
What is the linear speed of a tip on the fringe of a 0.35 m diameter grinding wheel rotating at 1650 rotations per minute?
b. What is the acceleration of the tip?
Tags: 0.35, 1650, diameter, edge, Grinding Wheel, linear, point, rotating, rpm...., speed, What, wheel.
November 21, 2009 at 23:32
2 Comments
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2 Comments on What is the linear speed of a tip on the fringe of a 0.35 m diameter grinding wheel rotating at 1650 rpm. ? »
November 21, 2009
By Robert O
1813. 9 m/s
or r(omega)
November 22, 2009
By max v
(a)
The linear speed is v=rω
where ω is the angular speed, in radians/second and r is the distance from the axis of rotation in, meters.
Therefore, ω=1650 rev/min * (1 min/60 s) * (2π rad/rev) = 173 rad/s
r=. 35 m
v=. 35 m * 173 rad/s = 60. 5 m/s.
(b) Because the angular speed is not changing, the linear speed also remains unchanged. This is a case of uniform circular motion. To find the acceleration in these cases, you take a=v^2/r. This gives:
a = (60. 5 m/s)^2/. 35 m = (3660 m^2/s^2)/. 35 m = 10500 m/s^2