Passengers on a fairground ride move at constant speed in a horizontal circle of radius 5.0 m, making a complete circle in 4.0 s.
To determine the speed at which the passengers on the fairground ride move, we can use the formula for the linear speed of an object moving in a circular path.
The formula for linear speed is:
v = 2πr / T
Where:
- v is the linear speed
- π (pi) is a mathematical constant approximately equal to 3.14159
- r is the radius of the circle
- T is the time taken to complete one full revolution (period)
In this case, the radius of the circle is given as 5.0 m, and the time taken to complete one full revolution (period) is given as 4.0 s.
Substituting the given values into the formula, we have:
v = 2π(5.0 m) / 4.0 s
Calculating this expression gives us:
v ≈ 7.85 m/s
Therefore, the passengers on the fairground ride move at a speed of approximately 7.85 m/s.