(1) A supply plane needs to drop a package of food to scientists working on a gl

Question

(1) A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 190m above the glacier ata speed of 160 m/s.

How far short of thr target should it drop the package?

( Express your answer using three significant figures with the appropriate units)

(2) An old-fashioned single-play vinyl record rotates on a turnable at 46.0 rpm. What are:

(a) the angular velocity in rad/s

(b) the period of the motion?

(Express your answer with the appropriate units)

Explanation / Answer

(a)
Given :
yo = 190 m,
v = 160 m/s,
theta =0 (dropped not pushed)

The range of a projectile is given by:
d = (v/g)sqrt(2gyo)
d = (160/9.81)sqrt(2(9.81)(190))
d = 16.31 * 61.05
d = 995.72 m

(b)
46 revs is an angular displacement of 46 revs * 2 pi rad/rev = 92 pi rad
92 pi rad/60s = 1.54 pi rad/s = 4.84 rad/s

Period is the time for one revolution
If there are 46 revs in 60s, it takes 60/46 secs for one rev, so the period is 1.304 s

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