Convert acceleration due to gravity 9.8m/s2 (SI) into cm/s2 (CGS)
The correct answer and explanation is:
To convert the acceleration due to gravity from 9.8 m/s29.8 \, \text{m/s}^2 (SI) to cm/s2\text{cm/s}^2 (CGS), follow these steps:
- Understand the units:
In the SI system, the acceleration due to gravity is given in meters per second squared (m/s2\text{m/s}^2). In the CGS system, acceleration is expressed in centimeters per second squared (cm/s2\text{cm/s}^2). To convert from SI to CGS, we need to convert meters to centimeters. - Conversion factor:
There are 100 centimeters in one meter. Therefore, to convert meters to centimeters, multiply the value by 100. - Perform the conversion: 9.8 m/s2×100=980 cm/s29.8 \, \text{m/s}^2 \times 100 = 980 \, \text{cm/s}^2
Thus, the acceleration due to gravity in CGS units is 980 cm/s2980 \, \text{cm/s}^2.
Explanation:
The acceleration due to gravity on Earth is commonly measured as 9.8 m/s29.8 \, \text{m/s}^2 in the SI system. The SI unit of length is the meter, and the CGS system uses the centimeter as its unit of length. Since the conversion between meters and centimeters is straightforward (1 meter = 100 centimeters), the value of acceleration simply scales by a factor of 100 when transitioning from SI to CGS. This conversion is necessary for consistency when working in different unit systems, and it helps to express the same physical quantity using different conventions.