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Chapter 3: Problem 48

Unit of time in SI and CGS systems is second (s). Unit of speed in SI and CGS systems are \(\mathrm{m} \mathrm{s}^{-1}\) and \(\mathrm{cm} \mathrm{s}^{-1}\) respectively.

Short Answer

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Short Answer: The unit of time in both the SI and CGS systems is the second (s). The unit of speed in the SI system is meter per second (m/s), while in the CGS system it is centimeter per second (cm/s). To convert units of speed between the two systems, use the conversion factor of 1 m = 100 cm.

Step by step solution

01

Introduction to SI and CGS unit systems

SI (International System of Units) is the modern and widely used unit system globally. It consists of base units like meter (m), kilogram (kg), second (s), etc., and derived units like joule (J), Pascal (Pa), etc. On the other hand, CGS (Centimeter-Gram-Second) is an older unit system that uses centimeter (cm), gram (g), and second (s) as its base units. Both unit systems have their units for time and speed.
02

Unit of time in SI and CGS systems

In both SI and CGS systems, the unit of time is the second (s). The definition of a second is the same in both systems and is based on the time it takes for a specific number of oscillations of the cesium-133 atom.
03

Unit of speed in SI and CGS systems

The unit of speed in the SI system is meter per second (\(\mathrm{m} \mathrm{s}^{-1}\)), and in the CGS system, it is centimeter per second (\(\mathrm{cm}\mathrm{s}^{-1}\)). To convert from \(\mathrm{m} \mathrm{s}^{-1}\) to \(\mathrm{cm} \mathrm{s}^{-1}\) or vice versa, we can use the conversion factor \(1 \mathrm{m} = 100 \mathrm{cm}\).
04

Converting the units of speed between SI and CGS systems

To convert a speed value from \(\mathrm{m}\mathrm{s}^{-1}\) to \(\mathrm{cm}\mathrm{s}^{-1}\), simply multiply the given value by the conversion factor (100). For example, if a speed value is given as \(5\, \mathrm{m}\mathrm{s}^{-1}\), the corresponding value in \(\mathrm{cm}\mathrm{s}^{-1}\) is \(5\times 100 = 500\, \mathrm{cm}\mathrm{s}^{-1}\). On the other hand, to convert a speed value from \(\mathrm{cm}\mathrm{s}^{-1}\) to \(\mathrm{m}\mathrm{s}^{-1}\), divide the given value by the conversion factor (100). For example, if a speed value is given as \(200\, \mathrm{cm}\mathrm{s}^{-1}\), the corresponding value in \(\mathrm{m}\mathrm{s}^{-1}\) is \(200/100 = 2\, \mathrm{m}\mathrm{s}^{-1}\).

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Most popular questions from this chapter

Fill in the Blanks. \(7200 \mathrm{~s}\) 2 hour \(=2 \times 60\) minutes \(=2 \times 60 \times 60 \mathrm{~s}=7200 \mathrm{~s}\)

Odometer is used to find the distance travelled by the vehicle and speedometer is used to find the speed of the vehicle.

Take the bob of the pendulum to one side so that the pendulum makes \(5^{\circ}\) with the vertical and release the bob. Start the stop watch when the bob is at the mean or extreme position and find the time taken by the pendulum to complete 20 oscillations. Dividing the time for 20 oscillations by 20 gives the time period (T) of the pendulum. The above experiment can be repeated for different lengths \((80 \mathrm{~cm}\),

\(\mathrm{A} \rightarrow \mathrm{b} \quad\) The piston of a motorcar engine moving at uniform speed is said to be in periodic motion. \(\mathrm{B} \rightarrow \mathrm{e}, \mathrm{b} \quad\) The objects executing vibratory motion undergo change in shape or size. The piston of a motor car engine executes vibratory motion. \(\mathrm{C} \rightarrow \mathrm{g} \quad\) Body at rest will have zero speed as well as zero velocity. \(\mathrm{D} \rightarrow\) a Maximum displacement of a body from its mean position is called amplitude. \(\mathrm{E} \rightarrow \mathrm{c} \quad\) A body moving with variable speed is said to be in non-uniform motion. \(\mathrm{F} \rightarrow \mathrm{d} \quad 1 \mathrm{~ms}^{-1}=\frac{1 \mathrm{~m}}{1 \mathrm{~s}}=\frac{\frac{1}{100} \mathrm{~km}}{\frac{1}{3600} \mathrm{~h}}=\frac{18}{5} \mathrm{~km} \mathrm{~h}^{-1}\) \(\mathrm{G} \rightarrow \mathrm{f} \quad\) Average velocity \(=\frac{\text { Total displacement }}{\text { Total time }}\)

The maximum displacement of the vibrating particle is called amplitude. S.I unit is \(\mathrm{m}\). The number of vibrations per second is frequency. SI unit is hertz (Hz).
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