1 The restaurant at the top of a very tall building in Seatt

1) The restaurant at the top of a very tall building in Seattle rotates 1.04 revolutions every hour. Morgan sits 21.1 meters from the center of the restaurant near a window.

(a1)   Through how many radians does Morgan turn in 111 minutes?
Report the answer accurate to 2 decimal places:
(approximate) angle = __________ rads
Hint: 1 revolution = 22 radians

(b1)   How far does Morgan move in 111 minutes?
Report the answer accurate to 2 decimal place:
(approximate) distance = ________ meters

Solution

60min=1.04 revolutions

1 min = 1.04/60 revol

we have r =21.1 mts.

then angle= 111*2*1.04*/60

   = 3.848 radians

and distance moved by Morgan

l=r*theta

= 21.1*3.848*3.14mts

= 255.177 mts