Key Points

Measurement of Time and Motion

13 Sections
  • Ancient Methods of Time Measurement

    In ancient times, people measured time using repeating natural events and devices like sundials, water clocks, hourglasses, and candle clocks.

  • The Simple Pendulum

    A simple pendulum consists of a small metallic ball, called a bob, suspended from a rigid support by a thread. It exhibits periodic oscillatory motion.

  • Time Period of a Pendulum

    The time taken by a pendulum to complete one full oscillation is called its time period. An oscillation is one complete to-and-fro swing of the bob.

  • Factors Affecting Time Period

    The time period of a simple pendulum depends on its length but is independent of the mass of the bob. A pendulum of a given length has a constant time period.

  • SI Unit of Time

    The standard international (SI) unit of time is the second, with the symbol s. Larger units are minute (min) and hour (h), where 60 s=1 min60 \text{ s} = 1 \text{ min} and 60 min=1 h60 \text{ min} = 1 \text{ h}.

  • Definition of Speed

    Speed is the measure of how fast an object is moving. It is defined as the distance covered by an object in a unit of time.

  • Formula for Calculating Speed

    Speed is calculated by dividing the total distance covered by the total time taken. The formula is Speed=Total distance coveredTotal time taken\text{Speed} = \frac{\text{Total distance covered}}{\text{Total time taken}}.

  • Units of Speed

    The SI unit of speed is metre per second (m/s). Another common unit is kilometre per hour (km/h).

  • Relationship Between Speed, Distance, and Time

    The relationship can be rearranged to find distance or time. Distance is calculated as Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}, and time is calculated as Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}.

  • Average Speed

    When an object's speed changes during its journey, the calculated speed represents the average speed. It is the total distance covered divided by the total time taken.

  • Uniform Linear Motion

    An object is in uniform linear motion if it moves along a straight line with a constant speed. It covers equal distances in equal intervals of time.

  • Non-Uniform Linear Motion

    An object is in non-uniform linear motion if it moves along a straight line but its speed keeps changing. It covers unequal distances in equal intervals of time.

  • Vehicle Measurement Instruments

    Vehicles are equipped with a speedometer to measure and display speed in km/h and an odometer to measure the total distance travelled in kilometres.

Quick Revision Tips

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