There are 2 cogs, connected together by 1 belt. Find the length of the belt.
The large cog has a radius of 11cm. The small cog has a radius of 4cm. The distance between the centre of the 2 cogs is 25cm.
(Diagram not drawn to scale)
I'm stuck because I cannot solve the angle AOB or YPZ, and I cannot solve the length of AY or BZ. Once I get those, then I can get solve the answer.
Can anyone tell me how to get the angle or length?
Does the angle AOB = angle YPZ?
I got for angle AOB and for the reflex angle of YPZ because I assumed they were equal, but it doesn't seem right.
Hello, Educated!
Your diagram didn't show up, but I'll take a guess.
There are 2 cogs, connected together by a belt.
Find the length of the belt.
The large cog has a radius of 11cm. The small cog has a radius of 4cm.
The distance between the centres of the 2 cogs is 25cm.
I got . and .
These happen to be correct.
In the diagram, consider quadrilateral
. . Note that it has two right angles.
Code:O * | @ * 7 | * 25 | * | * Q * - - - - - - - - - * P | 24 | 4 | | 4 | | | | B * - - - - - - - - - * Z 24
In right triangle
Also: .
and: .
Can you finish up?