A wheel is rotating at a rate of 2.10 revolutions every 3.10s.?

Question

Through what angle, in radians, does the wheel rotate in 1.0s?

Answer 1

4.25 = (((2.1 rev/s) / 3.1s) * (360degrees/rev)) / 57.3 rad/degree

Answer 2

The answer is 4.25 radians, or 243.72 degrees. Divide 2.1 by 3.1 to get revs per second (.677). Multiply .677 by 360 to get degrees "traveled" in 1 sec. (243.72). Divide 243.72 by 57.3 to get this value in rads. You have to know that there are 2 Pi rads (or 6.283) in 360 degrees. That's where you get the value of 57.3 to complete the conversion. Let me know if anyone gives you a different answer - I did this kind of fast!! (You taking a course in aeronautical engineering or do you have an algebra teacher who is a bit of a sadist?)

Answer 3

enable's assume the middle of the ferris wheel is 10m off the floor era = 2 minutes ==> w = 2pi / 2 = pi height above the floor is given by y = 10 sin (pi * t) + 10 there'll be a piece shift, yet that isn't impact the cost y ' = 10pi cos (pi * t) we favor to locate the time even as the seat is 16 m above the floor: 16 = 10 sin (pi * t) + 10 6 = 10 sin (pi * t) .6 = sin (pi * t) sin^-a million (.6) = pi * t .6435 = pi * t t = .6435/ pi (the position t is in minutes) t = .205 minutes y ' (.205) = 25.a million m / minute = .40 2 m / sec it is a first by-product issue, in view that that provides you with the vertical velocity observe: that is an upward velocity even as the rider is on the way up at 16m above the floor; that is going to likely be a downward velocity on his way down, besides the undeniable fact that an similar value (in Q2, the position sin > 0, cos < 0 besides the undeniable fact that an similar value)

Answer 4

(2.1 revs/3.10 s)*(2*pi*radians/rev) = 4.25 radians/s