For the rotating fan that completes 1160 revolutions every minute, with a tip's radius of 19.0 cm, we have:
a) The tip will move a distance of 1.19 m in one revolution.
b) The tip's speed is 23.08 m/s.
c) The magnitude of the tip's acceleration is 2803.6 m/s².
d) The period of the motion is 0.052 s.
a) The distance to which the tip move in one revolution is given by the circumference of the circle:

Where:
r: is the radius of the blade = 19.0 cm
Hence, the tip will move a <u>distance of 1.19 m</u> in one revolution.
b) The speed of the tip can be calculated with the following equation:

Where:
ω: is the angular speed = 1160 rev/min
Then, the<u> tip's speed</u> is:

c) The acceleration of the tip is given by:

Therefore, the magnitude of the <u>acceleration is 2803.6 m/s²</u>.
d) The period of the motion is:
Where:
f: is the frequency
Hence, the <u>period</u> of the motion <u>is 0.052 s</u>.
You can find more about the period and angular acceleration here: brainly.com/question/9708010?referrer=searchResults
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