Final answer:
To find the angular speed of a pendulum that takes 6.50 s to swing back and forth, divide the angle covered by the time taken.
Step-by-step explanation:
To find the angular speed of a pendulum, we start by determining the period of the pendulum. The period is the time it takes for the pendulum to complete one full swing back and forth. In this case, the period is given as 6.50 s.
The angular speed is the ratio of the angle covered by the pendulum to the time taken to cover that angle. Since the pendulum swings back and forth, it covers an angle of 360 degrees (or 2π radians) in one full swing. To calculate the angular speed, we divide the angle covered by the time taken: 2π radians / 6.50 s.
The angular speed of the pendulum is therefore approximately 0.97 radians per second.