The grinding stone of a flour mill is rotating at 600 rad/sec. for this power of 1.2 k watt is used. the effective torque on stone in N–m will be :–

Options

A. 1
B. 2
C. 3
D. 4

Answer

To find the effective torque on the grinding stone of a flour mill, we can use the relationship between power, torque, and angular velocity. Here's a step-by-step solution:

### Step 1: Identify the given values
- Power (P) = 1.2 kW = 1200 W (since 1 kW = 1000 W)
- Angular velocity (ω) = 600 rad/s

### Step 2: Recall the formula relating power, torque, and angular velocity
The formula that relates power (P), torque (τ), and angular velocity (ω) is:
\[ P = τ \cdot ω \]

### Step 3: Rearrange the formula to solve for torque
To find the torque (τ), we can rearrange the formula:
\[ τ = \frac{P}{ω} \]

### Step 4: Substitute the known values into the formula
Now, substitute the values of power and angular velocity into the equation:
\[ τ = \frac{1200 \, \text{W}}{600 \, \text{rad/s}} \]

### Step 5: Calculate the torque
Now, perform the calculation:
\[ τ = \frac{1200}{600} = 2 \, \text{N·m} \]

### Conclusion
The effective torque on the stone is:
\[ τ = 2 \, \text{N·m} \]