Answer :
This is a circular ferris wheel, with diameter of 9 meters, and the axis
mounted 12 meters off the ground. The equation is the height of the
a point that starts out level with the axis, at 't' seconds after the wheel
starts up.
Now here's where things start to go awry:
The period of the revolution is the time it takes for the angle
inside the sine to change by 2pi .
20(t - pi/2) = 2pi
20t - 10pi = 2pi
20t = 12pi
t = 12pi/20 = 1.885 seconds
I can't help it. All I did was the math, and that was bullet-proof.
It was up to whoever wrote the question to guarantee that the
answer makes sense.
For one thing, I don't believe the 'pi/2' belongs inside the parentheses
with the 't'. But even if we take the 'pi/2' out of the parentheses, that
still only makes the period 3.183 seconds, which is still an uncomfortable
number ... especially for the riders.
mounted 12 meters off the ground. The equation is the height of the
a point that starts out level with the axis, at 't' seconds after the wheel
starts up.
Now here's where things start to go awry:
The period of the revolution is the time it takes for the angle
inside the sine to change by 2pi .
20(t - pi/2) = 2pi
20t - 10pi = 2pi
20t = 12pi
t = 12pi/20 = 1.885 seconds
I can't help it. All I did was the math, and that was bullet-proof.
It was up to whoever wrote the question to guarantee that the
answer makes sense.
For one thing, I don't believe the 'pi/2' belongs inside the parentheses
with the 't'. But even if we take the 'pi/2' out of the parentheses, that
still only makes the period 3.183 seconds, which is still an uncomfortable
number ... especially for the riders.
