G(6)-g(2)/6-2
g(6) = 50
g(2) = 14
50-14/6-2
36/4
=9
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
Since we are using 3 sides of measurement and are looking for a volume, or a 3rd dimensional amount, the correct unit of measure is going to cm3, which is B.).
I hope this helps!
you're given the pythagorean theorem, which is a^2 + b^2 = c^2.
what you're trying to find is ?, which is the number under the radical.
let's pretend one leg is a and the other is b.
a = 9
b = 10
so let's plug it into the equation. we get 9^2 + 10^2 = c^2
so that equals 81 + 100 = c^2
181 = c^2
so c will equal the square root of 181. therefore, ? = 181.
hope i helped! good luck.
