A car is moving with a speed of 45 miles per hour find its speed in metre per second
The Correct Answer and Explanation is:
To convert the car’s speed from miles per hour (mph) to meters per second (m/s), we need to follow these steps:
Step 1: Understand the Conversion Factors
We know the following conversions:
- 1 mile = 1609.34 meters
- 1 hour = 3600 seconds
Step 2: Set Up the Conversion
We are given the speed of the car as 45 miles per hour. To convert this speed into meters per second, we will use the conversion factors above.
- First, multiply the number of miles by the conversion factor to convert miles into meters:
45 miles×1609.34 metersmile=72340.3 meters45 \, \text{miles} \times 1609.34 \, \frac{\text{meters}}{\text{mile}} = 72340.3 \, \text{meters}45miles×1609.34milemeters=72340.3meters
- Next, divide the total meters by the number of seconds in an hour to convert hours into seconds:
72340.3 meters÷3600 seconds=20.1 meters per second72340.3 \, \text{meters} \div 3600 \, \text{seconds} = 20.1 \, \text{meters per second}72340.3meters÷3600seconds=20.1meters per second
Final Answer:
The car’s speed is 20.1 meters per second.
Explanation:
To convert between units of speed, we use the relationship between the units of distance and time. In this case, converting from miles per hour to meters per second requires multiplying by the number of meters in a mile (1609.34 meters per mile) and then dividing by the number of seconds in an hour (3600 seconds). This is a straightforward application of dimensional analysis, where we ensure that the units are properly converted to match the desired outcome.
This type of conversion is important in various fields, including physics and engineering, where speeds are often measured in different units, and consistency in units is key to accurate calculations.
