Convert each of the following speeds into m/sec :
27 km/hr

Answer

To convert the speed of 27 km/hr into meters per second (m/sec), we can follow these steps:

### Step 1: Understand the conversion factors
1 kilometer (km) = 1000 meters (m)
1 hour (hr) = 3600 seconds (sec)

### Step 2: Set up the conversion
We want to convert 27 km/hr to m/sec. We can express this as:
\[ \text{Speed in m/sec} = 27 \, \text{km/hr} \times \frac{1000 \, \text{m}}{1 \, \text{km}} \times \frac{1 \, \text{hr}}{3600 \, \text{sec}} \]

### Step 3: Substitute the values
Now, substituting the values into the equation:
\[ \text{Speed in m/sec} = 27 \times \frac{1000}{3600} \]

### Step 4: Simplify the fraction
We can simplify \( \frac{1000}{3600} \):
\[ \frac{1000}{3600} = \frac{1000 \div 100}{3600 \div 100} = \frac{10}{36} = \frac{5}{18} \]

### Step 5: Multiply by 27
Now, we multiply:
\[ \text{Speed in m/sec} = 27 \times \frac{5}{18} \]

### Step 6: Perform the multiplication
Calculating this gives:
\[ \text{Speed in m/sec} = \frac{27 \times 5}{18} = \frac{135}{18} \]

### Step 7: Simplify the result
Now, we simplify \( \frac{135}{18} \):
\[ \frac{135 \div 9}{18 \div 9} = \frac{15}{2} = 7.5 \]

### Final Answer
Thus, the speed of 27 km/hr is equal to:
\[ \text{Speed in m/sec} = 7.5 \, \text{m/sec} \]

---