Answer:
The centripetal acceleration of the runner is 2.48 m/s²
Explanation:
Given :
Distance covered by runner, d = 200 m
Time taken by runner to complete 200 m , t = 23.2 s
Radius of the circular arc, r = 30 m
Consider v be the constant speed of the runner.
The constant speed is determine by the relation:
[tex]v=\frac{d}{t}[/tex]
[tex]v=\frac{200}{23.2}[/tex]
v = 8.62 m/s
Consider [tex]a_{c}[/tex] be the centripetal acceleration.
The relation to determine centripetal acceleration is:
[tex]a_{c}=\frac{v^{2} }{r}[/tex]
[tex]a_{c}=\frac{(8.62)^{2} }{39}[/tex]
[tex]a_{c}=2.48 \ m/s^{2}[/tex]
