The restaurant at the top of a very tall building in Seattle rotates 0.94 revolu

Question

The restaurant at the top of a very tall building in Seattle rotates 0.94 revolutions every hour. Hanna sits 21.1 meters from the center of the restaurant near a window (a1) Through how many radians does Hanna turn in 98 minutes? (exact) angle =___________ rads Enter the exact answer; use pi for Pi. (a2) Now, report the answer accurate to 3 decimal places: (approximate) angle = ______________ rads (b1) How far does Hanna move in 98 minutes? (exact) distance = meters Enter the exact answer; use pi or pi (b2) Now, report the answer accurate to 1 decimal place: (approximate) distance = _____________ meters

Explanation / Answer

one revoloution =2pi

in hour =0.94revolution

per min=0.94/60=0.0156666

asked for 98 min=98*0.0156666=1.53533333 revolutions

we know one revolution is 2pi

then 1.535333333 revolutions is =2pi*1.535333333=3.070666667pi

approx=3.071pi

from center she is 21.1meters

which means radius =21.1meters

cirmcumperance is =2pi r

=2*21.1*pi

=42.2pi metrs

for revolution but but it done 1.53533333revolutions

so for one revolution 42.2pi meters

for 1.53533333 revolution =1.535333333*42.2=64.79106653pi meters

approx=64.8pi meters

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