16 Suppose Enzo takes 58 seconds to Determine Enzos speed in

16. Suppose Enzo takes 58 seconds to Determine Enzo\'s speed in radians/ser * seconds to complete one revolution of the 7 ft radius garden. dians/second. b8 sec X a&ians; 180 les from the angle with the smallest amount of openness to the angle 17. Order the following angles from the angle with the largest amount of openness. (e.g., ABCD would indicate Angle A has the smallest m measure, etc.) _Angle A: An angle that cuts off 15% of the circumf ngle A has the smallest measure, Angle B has the second smallest that cuts off 15% of the circumference of the circle. _Angle B: An angle with a measure of 0.15 radians Angie C: An angle that cuts off 1/15 th of the circumference of the circle - Angle D: An angle with a measure of 15 degrees EXTRA CREDIT (10 POINTS, ALL OR NOTHING]

Solution

Ans: Since the speed is asked in (radians per second) hence it is the angular velocity I.e. rotational velocity.

So one revolution means covering 2pi radians. Since it takes 58 seconds to cover 2pi radians the angular velocity

Will be 2pi/58 = pi/29 radians per second. Where 1 pi = 22/7

17) Complete circumference of a circle covers 2pi = 360 degrees.

A = .15 of circumference.

B = 0.15 radians, since 2pi radians cover 1 circumference then 0.15 radians covers 2pi/0.15 = 0.02 circumference of

a circle.

C = 1/15th circumference is 0.0666 circumference of circle.

D = 360 degree is 1 circumference so 15 degrees is 15/360 = 1/24 = 0.0416 circumference.

So correct order will be: A > C > D > B.