Answer:
Total length = 29.42 in
Step-by-step explanation:
Solution:-
Denote:
- The center to center length Lc = 10 in
- The diameter of the flywheel, d = 3 in
- We see that the length of the belt can be broken down into 4 section.
Upper horizontal ( Center to Center ) = Lc
Lower horizontal ( Center to Center ) = Lc
Right half wheel curves surface = Sc
Left half wheel curves surface = Sc
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Total Length: 2*Lc + 2*Sc
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- To determine the length of the belt wrapped around the curved surface of the flywheel. Here, we shall assume a wrap angle = 180°.
- The circumference of a circle ( C ) with diameter d is given below:
C = π*d
We will use half of the circumference to be equal to Sc:
Sc = 0.5*C = 0.5* π*d
Sc = 0.5*π*(3)
Sc = 4.71238 in
- Now we can determine the total length of the belt used :
Total Length = 2*Lc + 2*Sc
= 2*(10) + 2*(4.71238)
= 29.4247 in
- Round off to nearest hundredth by truncating 3rd decimal place and onwards.
Total length = 29.42 in
