A high school physics instructor student by asking that he stick the gum to a sa

Question

A high school physics instructor student by asking that he stick the gum to a says that the diameter of the fan is d = 27 cm and at lull i,moving when the gum gets thrown off. The label Randomized Variables Calculate the maximum the angular velocity of the fan in radians per second. Surprisingly, the gum seems to remain stuck to the Ian at this speed. Calculate the angular acceleration of the gum a. in radians per square second, as the fan is speeding up. Calculate the tangential component of the acceleration of the gum in meters per square second, as the fan is speeding up. What is the magnitude of the centripetal acceleration of the gum a_rad. in meters per square second, when the fan reaches full speed? What is the direction of the centripetal acceleration of the gum. as the Ian is turning at top speed. Calculate the tangential component of the acceleration of the gum u_UR-f. in meters per square second, when the fan is at full

Explanation / Answer

c) atan = (v-u)/t = (2pi*d*f - 0)/t

= (6.28*0.27*45)/14

=5.45 m/s^2

d) acen = w^2 d

= (2pi f)^2 d

= (6.28*45)^2*0.27

= 21563 m/s^2

e) direction is towards the center

f) when fan is at full speed, atanf = 0

g) Just when the gum becomes unstuck, it moves with its tangential velocity

v = wd

= 2pi f*d

= 6.28*45*0.27

= 76.3 m/s

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