Suppose the acceleration due to gravity at a place is `10 m/s^2`. Find its value in cm//(minute).

Explanation

To solve the problem of converting the acceleration due to gravity from meters per second squared (m/s²) to centimeters per minute squared (cm/min²), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given value**:
The acceleration due to gravity is given as \( g = 10 \, \text{m/s}^2 \).

2. **Convert meters to centimeters**:
We know that \( 1 \, \text{meter} = 100 \, \text{centimeters} \). Therefore, we can convert the acceleration:
\[ g = 10 \, \text{m/s}^2 \times 100 \, \text{cm/m} = 1000 \, \text{cm/s}^2 \]

3. **Convert seconds to minutes**:
We know that \( 1 \, \text{minute} = 60 \, \text{seconds} \). To convert seconds squared to minutes squared, we need to square the conversion factor:
\[ 1 \, \text{s}^2 = \left(\frac{1}{60} \, \text{min}\right)^2 = \frac{1}{3600} \, \text{min}^2 \]

4. **Combine the conversions**:
Now we can substitute this back into our equation for acceleration:
\[ g = 1000 \, \text{cm/s}^2 \times 3600 \, \text{s}^2/\text{min}^2 \]

5. **Calculate the final value**:
Performing the multiplication gives us:
\[ g = 1000 \times 3600 \, \text{cm/min}^2 = 3600000 \, \text{cm/min}^2 \]

6. **Express in scientific notation**:
We can express \( 3600000 \) in scientific notation:
\[ g = 3.6 \times 10^6 \, \text{cm/min}^2 \]

### Final Answer:
The value of acceleration due to gravity in centimeters per minute squared is:
\[ g = 3.6 \times 10^6 \, \text{cm/min}^2 \]