What is the speed of the belt if the tensions in the tight and slack sides of a belt are 14,000 N and 900 N, with a power transmission of 655 kW?

What is the speed of the belt if the tensions in the tight and slack sides of a belt are 14,000 N and 900 N, with a power transmission of 655 kW?

• A. 50 m/s
• B. 43.96 m/s
• C. 25.2 m/s
• D. 31.6 m/s

Answer: (A)

To determine the speed of the belt in a belt drive system, you can use the formula for power transmission, which is given by: \[ P = (T_{tight} - T_{slack}) \times v \] Where: - \( P \) is the power transmitted (in watts), - \( T_{tight} \) is the tension in the tight side of the belt (in newtons), - \( T_{slack} \) is the tension in the slack side of the belt (in newtons), - \( v \) is the speed of the belt (in meters per second). First, we need to convert the power from kilowatts to watts: \[ 655 \, kW = 655,000 \, W \] Next, calculate the difference in tension: \[ T_{tight} - T_{slack} = 14,000 \, N - 900 \, N = 13,100 \, N \] Now, substitute the values into the power equation: \[ 655,000 \, W = 13,100 \, N \times v \] To find \( v \), rearrange the equation: \[ v = \frac{655,

To determine the speed of the belt in a belt drive system, you can use the formula for power transmission, which is given by:

[ P = (T_{tight} - T_{slack}) \times v ]

Where:

• ( P ) is the power transmitted (in watts),

• ( T_{tight} ) is the tension in the tight side of the belt (in newtons),

• ( T_{slack} ) is the tension in the slack side of the belt (in newtons),

• ( v ) is the speed of the belt (in meters per second).

First, we need to convert the power from kilowatts to watts:

[ 655 , kW = 655,000 , W ]

Next, calculate the difference in tension:

[ T_{tight} - T_{slack} = 14,000 , N - 900 , N = 13,100 , N ]

Now, substitute the values into the power equation:

[ 655,000 , W = 13,100 , N \times v ]

To find ( v ), rearrange the equation:

[ v = \frac{655,