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
The least common multiple of 70, 60, and 50 is 2,100 because:
Prime factorization of 70 = 2*5*7.
2= 1 time
5 = 1 time
7 = 1 time
Prime factorization of 60 = 2*2*3*5.
2 = 2 times
3 = 1 time
5 = 1 time
Prime factorization of 50 = 2*5*5.
2 = 1 time
5 = 2 times
Multiply all numbers by the greatest amount it occurs:
2 = 2 times
3 = 1 time
5 = 2 times
7 = 1 time
2*2*3*5*5*7 = 2,100
Hope this helped☺☺
Answer:
time= half hour= 30 min
words = 450
number of words in 30 min= 450
number of words in 1 min= 450/30
number of words in 7 min = 450/30 x 7
= 105 words
Step-by-step explanation:
I think the answer to this question would be B