The second hand of a clock is 3 cm long. How far does the tip travel in 2 min. 15 seconds?

5.2 sec

To calculate how far the tip of the second hand travels in 2 minutes and 15 seconds, we need to determine the distance it covers in each second and then multiply it by the total number of seconds.

First, let's find out how far the tip travels in one second. The tip of the second hand forms a circle with a radius of 3 cm. The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, the circumference is equal to 2π multiplied by the radius (2π × 3 cm). Using a calculator, we can find the circumference to be approximately 18.85 cm (rounded to two decimal places).

Next, we need to calculate how many seconds are in 2 minutes and 15 seconds. There are 60 seconds in a minute, so 2 minutes is equal to 2 × 60 = 120 seconds. Adding the additional 15 seconds gives us a total of 120 + 15 = 135 seconds.

Finally, we multiply the circumference, which is the distance covered in one second, by the total number of seconds in 2 minutes and 15 seconds. So, the distance covered by the tip of the second hand in 2 minutes and 15 seconds is approximately 18.85 cm × 135 = 2544.75 cm (rounded to two decimal places).

Therefore, the tip of the second hand travels approximately 2544.75 cm in 2 minutes and 15 seconds.