Evaluate a sinusoidal model with a phase shift
Evaluate h(x) = a*sin(x - c) + d0 at a given angle to model a periodic reading from a rotating machine part. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
A sensor on a rotating turntable models a reading, h, after the part has rotated x degrees from its reference position. Find the reading when x = 30deg.
h(x) = 8·sin(x - 7) + 8
Answer: 11.13
See one solved, step by step
A sensor on a wind turbine hub models a reading, h, after the part has rotated x degrees from its reference position. Find the reading when x = 30deg.
h(x) = 13·sin(x - 10) + 1
📘 Worked solution
1h(30) = 13·sin(30 - 10) + 1Substitute x = 30 into the equation.
2= 13·sin(20deg) + 1Simplify inside the sine first: 30 - 10 = 20.
3sin(20deg) = 0.342Evaluate the sine ratio (calculator in degree mode).
4= 13 · 0.342 + 1 = 5.45Multiply, then add the vertical shift.
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