If a wheel is spinning at 1200 revoluations per minutes, how many revoluation will it make in t second?

Options

A. `2t`
B. `10t`
C. `20 t`
D. `48t`

Answer

To solve the problem of how many revolutions a wheel makes in \( t \) seconds when it is spinning at 1200 revolutions per minute, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the given information**:
The wheel spins at a rate of 1200 revolutions per minute (rpm).

2. **Convert minutes to seconds**:
Since we need to find the number of revolutions in \( t \) seconds, we first convert the rate from revolutions per minute to revolutions per second.
\[ \text{Revolutions per second} = \frac{1200 \text{ revolutions}}{1 \text{ minute}} = \frac{1200 \text{ revolutions}}{60 \text{ seconds}} = 20 \text{ revolutions per second} \]

3. **Calculate the number of revolutions in \( t \) seconds**:
If the wheel makes 20 revolutions in one second, then in \( t \) seconds, the number of revolutions will be:
\[ \text{Revolutions in } t \text{ seconds} = 20 \text{ revolutions/second} \times t \text{ seconds} = 20t \text{ revolutions} \]

4. **Final answer**:
Therefore, the number of revolutions made in \( t \) seconds is \( 20t \).

### Conclusion:
The correct answer is \( 20t \).