Question

Jacqueline is checking her bicycle’s wheel. The wheel has a radius of 20 cm, and its center is 51 cm above the ground. Jacqueline is rotating the wheel at a constant speed of 225°/s. The height of a point on the tire as a function of time is given by h = 51 + 20 sin(225t), where h is the height in centimeters and t is the time in seconds. Find h when t = 19 s. Find your answer to the nearest tenth of a centimeter.

Answer 1

h = 36.9 cm

Explanation:

The function given to us is:

h(t) = 51 + 20 sin(225t)

Where h(t) is the function of the height in centimeters while t represents the time in seconds.

We have to find the height h(t) when the time is equal to 19 seconds.

Substitute t=19 into the given function

h(19) = 51 + 20 sin(225(19))

h(19) = 51 + 20 sin(4275)

h(19) = 51 + 20 (-0.7071)

h(19) = 51 + (-14,1421)

h(19) = 36.8579 cm

Rounding off to nearest 10th

h = 36.9 cm