[pojopdA disk 7.92 cm in radius rotates at a constant rate of 1 100 rev/min abou

Question

[pojopdA disk 7.92 cm in radius rotates at a constant rate of 1 100 rev/min about its central axis.

(a) Determine its angular speed.
  rad/s

(b) Determine the tangential speed at a point 3.06 cm from its center.
  m/s

(c) Determine the radial acceleration of a point on the rim.

(d) Determine the total distance a point on the rim moves in 1.90 s.
  
If you know the (constant) speed of a point on the rim, how far will it travel in 1.90 seconds? m

Explanation / Answer

a)

constant rate = 1100 rev/min

angular speed =1100 * 2pi/60

angular speed =115.2 rad/s

the angular speed is 115.2 rad/s

b)

tangential speed = r * w

tangential speed = 115.2 * 0.0792

tangential speed = 9.121 m/s

the tangential speed is 9.121 m/s

c)

radial acceleration = v^2/r

radial acceleration = 9.121^2/.0792

radial acceleration = 1050 m/s^2

radial acceleration = 1.05 km/s^2

the radial acceleration is 1.05 km/s^2 radially towards the centre of disk

d)

distance travelled = v * t

distance travelled = 9.121 * 1.9

distance travelled = 17.33 m

the distance travelled is 17.33 m

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