In a carnival ride,passengers travel in a constant speed in a circle of radius 5m and make 1 complete revolution in 40s.
calculate the acceleration?
v = 2π(5)/40 = π/4 m/s
a = v ²/r = (π/4)²/5 = π²/80 m/s² towards the centre of the circle.
Thanks you so much, Lynx.
To calculate the acceleration of the passengers in the carnival ride, we can use the formula for centripetal acceleration:
a = (v^2) / r
where:
a = acceleration
v = velocity
r = radius
Given that the passengers make 1 complete revolution in 40s, we can calculate the velocity using the formula:
v = 2Ï€r / t
where:
v = velocity
r = radius
t = time
Let's plug in the values and calculate step by step:
1. Calculate the velocity:
v = (2 * π * 5) / 40
v = 0.7854 m/s
2. Calculate the acceleration:
a = (0.7854^2) / 5
a = 0.1235 m/s^2
Therefore, the acceleration of the passengers in the carnival ride is 0.1235 m/s^2.