a clock has its second hand 2 cm long. find the average speed and modulus of average velocity of the tip of the second hand in 15 seconds
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Angular speed 2.828
To find the average speed and modulus of average velocity of the tip of the second hand, we need to calculate the displacement and time interval.
The average speed is calculated by dividing the total distance traveled by the time taken. In this case, the distance traveled by the tip of the second hand is equal to the circumference of a circle with a radius of 2 cm, which is 2 * π * 2 = 4π cm.
Now, dividing the distance traveled (4π cm) by the time taken (15 seconds), we can find the average speed:
Average Speed = Distance / Time
Average Speed = (4π cm) / (15 s)
Average Speed ≈ 0.837 cm/s (rounded to 3 decimal places)
The modulus of average velocity is the magnitude of average velocity, which is the same as average speed since velocity is a vector quantity with no direction in this case. Therefore, the modulus of average velocity is also 0.837 cm/s.