Calculating the Speed of the Tip of the Seconds Hand

To calculate the speed of the tip of the seconds hand of a watch, we need to consider the length of the seconds hand and the time it takes for the hand to complete one full revolution.

Given:
Length of the seconds hand = 1.5 cm

Formula:
The formula to calculate the speed is given by:
Speed = Distance/Time

Calculating Distance:
The distance covered by the tip of the seconds hand is the circumference of the circular path it traces. The formula for the circumference is given by:
Circumference = 2πr

Since the seconds hand is essentially a long, thin rod, we can consider it to be a line segment rather than a circle. Therefore, we can approximate the distance covered by the tip of the seconds hand as the length of the seconds hand itself.

Distance = Length of the seconds hand = 1.5 cm

Calculating Time:
The time taken for the seconds hand to complete one full revolution is 60 seconds since there are 60 seconds in a minute.

Time = 60 seconds

Substituting Values:
Using the formula for speed and substituting the values we have calculated:
Speed = Distance/Time
Speed = 1.5 cm / 60 seconds

Conversion:
To convert the speed to a more common unit, we can divide both the numerator and denominator by 60 to convert cm/s to cm/min.
Speed = (1.5 cm / 60 seconds) * (1 min / 60 seconds)

Calculating:
Speed = 0.025 cm/min

Final Answer:
The speed of the tip of the seconds hand of a watch is approximately 0.025 cm/min.

Time=60sec
length/radius of the watch= 15/10cm =15/1000m
speed=( 2*22/7*15/1000)/60=0.00157079633m/s