Answer:
2.55348650884 m/s
2.67400481907 m/s²
10.6960192763 m/s²
Explanation:
d = Diameter of the ride = 16 ft=[tex]16\times 0.3048=4.8768\ m[/tex]
r = Radius = [tex]\dfrac{4.8768}{2}=2.4384\ m[/tex]
t = Time taken = 6 seconds
Velocity is given by
[tex]v=\dfrac{2\pi r}{t}\\\Rightarrow v=\dfrac{2\pi 2.4384}{6}\\\Rightarrow v=2.55348650884\ m/s[/tex]
The speed is 2.55348650884 m/s
Acceleration is given by
[tex]a=\dfrac{v^2}{r}\\\Rightarrow a=\dfrac{(\dfrac{2\pi 2.4384}{6})^2}{2.4384}\\\Rightarrow a=2.67400481907\ m/s^2[/tex]
The acceleration is 2.67400481907 m/s²
When the speed is halved
[tex]v=\dfrac{2\pi 2.4384}{\dfrac{6}{2}}=5.10697301768\ m/s[/tex]
[tex]a=\dfrac{v^2}{r}\\\Rightarrow a=\dfrac{(\dfrac{2\pi 2.4384}{\dfrac{6}{2}})^2}{2.4384}\\\Rightarrow a=10.6960192763\ m/s^2[/tex]
The acceleration is 10.6960192763 m/s²
