rotational motion: vertical motion of piston (express x is percent of h)

[Methods101]

Help on question, no clue where to start

Attached is the diagram and question 27.

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27. The diagram shows how the vertical motion of a piston can be used to produce rotational motion. As the piston travels from the low position to the high position and back again, the wheel will rotate.

If the minor arc PQ is equal in length to r, the radius of the wheel, express x as a percentage of h correct to the nearest percent.

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Thankyou in advance. I have 0 idea on what to do thanks

 

[Deleted member 4993]

Help on question, no clue where to start

Attached is the diagram and question 27.

---

27. The diagram shows how the vertical motion of a piston can be used to produce rotational motion. As the piston travels from the low position to the high position and back again, the wheel will rotate.

If the minor arc PQ is equal in length to r, the radius of the wheel, express x as a percentage of h correct to the nearest percent.

---

Thankyou in advance. I have 0 idea on what to do thanks

What is the length PR in terms of "r"?

What is the measure of the angle POQ and POR?

Now apply laws of Sines and Cosines on triangle POR.