50+2x=100
-50 -50(subtract 50 from both sides)
2x=50 (divide both sides by 2)
x=25
1) Calculate the whole arc (complete circumference):
Circumference = 2π*radius
radius = 6 foot
=> Circumference = 2 * 3.14 * 6 foot = 37.68
2) Calculate the time to make a whole round, by making a proportion with the two ratios:
ratio 1 = x / 37.68 =
ratio 2 = 3 / 14.13
ratio 1 = ratio 2 =>
x 3s
---------- = -----------
37.68 ft 14.13 ft
=> x = 3 * 37.68 / 14.13 = 8 s
3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.
So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s
Answer: 0.785 rad / s
Answer:
(b)
P = [4(4a + 3b]/(2a + b)
Step-by-step explanation:
P = 2L + 2W
P = [2(5a + 4b) + 2(3a + 2b)]/(2a + b)
P = [10a + 8b + 6a + 4b]/(2a + b)
P = [16a + 12b]/(2a + b)
P = [4(4a + 3b]/(2a + b)
