the time it takes to make 10 revolutions is ..
the answer is 5.6 seconds. i don't know how to get to the answer
please write step by step
thanks
the answer is 5.6 seconds. i don't know how to get to the answer
please write step by step
thanks
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10 revolutions is also 20π radians.
You can treat this the same as you would an acceleration problem with distance. Treat radians the same way you would meters.
Set up a function
θ(t) = 1/2*(4.0)t^2
Where θ is the angle in radians.
Set the function equal to 20π and solve for t
t^2 = 2(20π)/(4.0)
t = 5.60 sec
If you don't know how I got that function, here's the setup of a regular position time function (it assumes constant acceleration)
acceleration, a
velocity, v
start position, d
s(t) = 1/2at^2 + vt + d
I like to call it s(t), but that's just me.
You can treat this the same as you would an acceleration problem with distance. Treat radians the same way you would meters.
Set up a function
θ(t) = 1/2*(4.0)t^2
Where θ is the angle in radians.
Set the function equal to 20π and solve for t
t^2 = 2(20π)/(4.0)
t = 5.60 sec
If you don't know how I got that function, here's the setup of a regular position time function (it assumes constant acceleration)
acceleration, a
velocity, v
start position, d
s(t) = 1/2at^2 + vt + d
I like to call it s(t), but that's just me.