I know the radius is 95 feet and the the arc angle is 230degrees and the sprinkler (the radius i think) moves in an arc of 230degrees in 3.75hours and i need for speed in seconds
2006-12-19 10:14:07 · 3 answers · asked by Anonymous in Education & Reference ➔ Homework Help
I need to find the speed and I dont know what the formula for speed is and it deals with angles and stuff
2006-12-19 10:24:38 · update #1
know the radius is 95 feet and the the arc angle is 230degrees and the sprinkler (the radius i think) moves in an arc of 230degrees in 3.75hours and i need for speed in seconds
circumfrence =2∏r=2*∏*95=596.9 feet
the sprinker moves 230 degrees which is 230/360 times the circumfrence= 381.6 feet
divide that by hours and you get 101.7 feet/hour
2006-12-19 11:17:54 · answer #1 · answered by adriantheace 4 · 0⤊ 0⤋
1. need to find how far the arc is - find the circumference (pi x d) (3.14 x 190) = 596.6 ft.
2. circle has 360 degree, in this case that is 596.6 ft. need to find how far 230 degrees is - set up as a ratio:
596.6 ft / 360 = x / 230 (so the arc of 230 degrees is 381.2 ft)
3. So speed is now 381.2 ft in 3.75 hours.
4. Convert your hours to seconds (multiply by 3600) and now you have 381.2 feet in 13,500 seconds.
5. You need the speed in 1 second , you should convert the feet to inches to have a reasonable answer: 4574.4 inches in 13,500 seconds.
6. Divide by 13,500 seconds and you get .34 inches per second.
(I rounded all the answers to the nearest tenth.)
Based on the info given, I think this is what you're looking for
2006-12-19 11:21:37 · answer #2 · answered by Anonymous · 0⤊ 0⤋
13,500 seconds is 3.75 hours.
2006-12-19 10:18:40 · answer #3 · answered by Robbie F 2 · 0⤊ 0⤋