The height of a piston, h, in inches, can be modeled by the equation y = 2cos x + 5, where x represents the crank angle. Find the height of the piston when the crank angle is 55°.

Expert Solution

The height of a piston h (in inches) is modeled by the function,

y = 2cosx + 5… (1)

Where, x represents the crank angle.

For crank angle as 55 degrees, substitute x = 55° in the function (1) y = 2cosx + 5 and compute the height of the piston as follows:

y = 2cos(55°) + 5

= 2 × (0.57357643…) + 5

= 6.147152872…

≈ 6.15

Rounding to the nearest hundredth, the height of the piston is approximately 6.15 inches when the crank angle is 55 degrees.

Junaid answered 1 year ago

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