Math  /  Trigonometry

Question2. A ferris wheel has a diameter of 40 m and rotates once every 24 s . a) Draw a graph to show a person's height above or below the centre of rotation starting at the lowest position. (ie. make the middle of the ferris wheel be your 0 value on the yy-axis). ax=20a=maxxmin2 in =20=(20(20)2=max+min2=20+(20)202=(20+202=120/22=0/2=σ\begin{array}{l} a x=20 \quad a=\frac{|\max x-\min |}{2} \\ \text { in }=-20 \quad=\frac{(20-(-20) \mid}{2} \\ =\frac{\operatorname{max+min}}{2} \\ =\frac{20+(-20)}{20^{2}}=\frac{(20+20 \mid}{2} \\ =\frac{120 / 2}{2} \\ =0 / 2 \\ =\sigma \end{array} b) Find an equation of the graph in a)

Studdy Solution
The graph is a cosine wave starting at its lowest point.
The equation describing the person's height is h(t)=20cos(π12t)h(t) = -20\cos\left(\frac{\pi}{12}t\right).

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