The restaurant at the top of a very tall building in Seattle rotates 0.97 revolu

Question

The restaurant at the top of a very tall building in Seattle rotates 0.97 revolutions every hour. Guadalupe sits 18.8 meters from the center of the restaurant near a window. (a1) Through how many radians does Guadalupe turn in 109 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 Guadalupe move in 109 minutes? (exact) distance = meters Enter the exact answer: use pi for pi. (b2) Now, report the answer accurate to 1 decimal place: (approximate) distance = meters

Explanation / Answer

1 a)

number of revolutions in 109 minutes

( 109 / 60 ) * 0.97

1.76216

angle in radians = 1.7621 * 2pi

= 3.5243 pi

2a) answer accurate to 3 decimal places

= 11.066 radians

1b) distance = radius * angle

= 18.8 * 3.5243 pi

= 66.2568 pi meters

2b) distance accurate to 1 decimal place

= 208 meters

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