Math  /  Trigonometry

QuestionThe height, hh, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function h(t)=16cos(πt120)+18h(t)=16 \cos \left(\frac{\pi t}{120}\right)+18, where tt is the time, in seconds. How fast does the wheel rotate? a) π240rad/s\frac{\pi}{240} \mathrm{rad} / \mathrm{s} b) π120rad/s\frac{\pi}{120} \mathrm{rad} / \mathrm{s} C) 120rad/s120 \mathrm{rad} / \mathrm{s} d) 240rad/s240 \mathrm{rad} / \mathrm{s}

Studdy Solution
Determine the speed of rotation in radians per second. From the previous step, we found that the angular velocity is:
ω=π120 rad/s \omega = \frac{\pi}{120} \text{ rad/s}
Thus, the correct answer is:
b) π120 rad/s\frac{\pi}{120} \text{ rad/s}
The speed of rotation of the Ferris wheel is π120 rad/s\boxed{\frac{\pi}{120} \text{ rad/s}}.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord