Question

Calculate the power transmitted through a belt drive (in kW) if tension on tight and slack sides are 200 N and 50 N, respectively. The linear velocity of belt speed is 10 m/s.

• A. 2.5 kW
• B. 1 kW
• C. 2 kW
• D. 1.5 kW

Hint:

- Power in belt drives is given by \( P = (T_1 - T_2) v \). - Always convert units properly before calculating. - The difference in tensions drives power transmission.

Answer 1

The Correct Option is C

Step 1: Formula for Power in Belt Drive. The power transmitted by a belt drive is given by: \[ P = (T_1 - T_2) \cdot v \]
Step 2: Substituting values. \[ P = (200 - 50) \times 10 \] \[ P = 1500 \text{ W} = 2.0 \text{ kW} \] Thus, the correct answer is (c) 2 kW.