The discussion focuses on calculating the distance the tip of a 2.00 cm long hour hand moves in 3 hours using the arc length formula. The hour hand completes 1/12 of a revolution per hour, equating to a total of 1/4 of a revolution in 3 hours. The arc length formula, \( s = r \cdot \theta \), is applied, where \( \theta \) is the angle in radians. The final calculation reveals that the tip of the hour hand moves approximately 3.14 cm in this time frame.
PREREQUISITESMathematics students, physics enthusiasts, and anyone interested in understanding the mechanics of circular motion and angular displacement.
dtippitt said:How far to the nearest hundreth cm, does the tip of the hour hand on a clock move in exactly 3 hours if the hour had is 2.00 cm long?
I think you are supposed to use arc length formula.
This is what I got so far:
s=r(radian symbol) = 3=1(radian symbol)
dtippitt said:How far to the nearest hundreth cm, does the tip of the hour hand on a clock move in exactly 3 hours if the hour had is 2.00 cm long?