VIPSolutionsDESKTOR-AGSCUCS (116242664) - UtraViewe! " S Ee 1 Determine length L of the belt of an open belt as shown below . Rem ER § 150 mm " 3 i Previous Question | SE Ss - Quoumenmpoecd ol
Question:
DESKTOR-AGSCUCS (116242664) - UtraViewe! "
S Ee
1
Determine length L of the belt of an open belt as shown below
. Rem ER
§ 150 mm
"
3
i Previous Question
|
SE Ss -
Quoumenmpoecd ol
This is AI generated Response.
Asked by: Veera manikanta
Created at: 2025-08-29 20:19:29
Asked by: Veera manikanta
Created at: 2025-08-29 20:19:29
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Let's solve for the length \( L \) of the belt for the open belt drive shown in the image.
Given:
- Diameter of smaller pulley, \( d_1 = 30 \) mm, radius \( r_1 = 15 \) mm
- Diameter of larger pulley, \( d_2 = 60 \) mm, radius \( r_2 = 30 \) mm
- Distance between centers, \( C = 150 \) mm
**Formula for the length of an open belt:**
\[
L = \pi (r_1 + r_2) + 2C + \frac{(r_2 - r_1)^2}{C}
\]
Let's substitute the values:
\[
L = \pi (15 + 30) + 2 \times 150 + \frac{(30 - 15)^2}{150}
\]
\[
L = \pi (45) + 300 + \frac{225}{150}
\]
\[
L = 141.372 + 300 + 1.5
\]
\[
L = 442.872 \text{ mm}
\]
So, the correct answer is:
**442.871 mm**
This matches the last option in the list.
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