A carousel has a radius of 17 feet and takes 28 seconds to make one complete revolution. What is the linear speed of the carousel at its outside edge? Express the answer in feet per second. If neccessary, round the answer to two decimal places.
a. 106.81
b. 10.35
c. 0.61
d. 3.81
2007-10-19 11:36:25 · 5 answers · asked by hana 1 in Science & Mathematics ➔ Mathematics
d.
Calculate the perimeter of the carousel on its edge. 2 * pi * r = 2*pi*(17) = 106.81 ft
Now you know that it made 106.81 ft for only 28 seconds. Divide 106.81/28 seconds to get the number of feet you can go per second.
Which gives you 3.81.
2007-10-19 11:41:24 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Circumference = 2Ïr
c = 2*3.1416*17
c = 106.81 ft
106.81ft / 28sec = 3.81 ft/sec
So d. is the correct answer.
.
2007-10-19 18:44:44 · answer #2 · answered by Robert L 7 · 0⤊ 0⤋
complete revolution is 2Pi R
= 2(3.14)(17) = 106.76 ft
linear speed = 106.76/28 = 3.81 ft/s
answer is d
2007-10-19 18:43:17 · answer #3 · answered by Any day 6 · 0⤊ 0⤋
d
2007-10-19 18:39:27 · answer #4 · answered by Atius 2 · 0⤊ 0⤋
d is correct:
Circumference=pi*diameter
C=pi*2*17
C=106.814ft
v=C/t
v=106.814ft/28s
v=3.81ft/s
2007-10-19 18:44:50 · answer #5 · answered by klimbim 4 · 0⤊ 0⤋