A disk 7.97 cm in radius rotates at aconstant rate of 1150 rev/min about itscent

Question

A disk 7.97 cm in radius rotates at aconstant rate of 1150 rev/min about itscentral axis. (a) Determine its angular speed.
1 rad/s

(b) Determine the tangential speed at a point 2.99 cm from its center.
2 m/s

(c) Determine the magnitude of the radial acceleration of a pointon the rim.
3km/s2

(d) Determine the total distance a point on the rim moves in2.01 s.
4 m (a) Determine its angular speed.
1 rad/s

(b) Determine the tangential speed at a point 2.99 cm from its center.
2 m/s

(c) Determine the magnitude of the radial acceleration of a pointon the rim.
3km/s2

(d) Determine the total distance a point on the rim moves in2.01 s.
4 m

Explanation / Answer

a) = 1150 rev/min *   (2 rad / rev ) * (1 min / 60 s)          = 120.36 rad/ s b) v = r = 0.0299 m * 120.36 rad / s =3.59 m/s c) ar = r2 = 0.0797 m * (120.36 rad / s)2 = 1154 m / s2 = 1.154 km/s2 d) d = vt = 3.59 m/s * 2.01 s = 7.2159m d) d = vt = 3.59 m/s * 2.01 s = 7.2159m

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