Racing greyhounds are capable of rounding corners at very high speeds. A typical greyhound track has turns that are 45 m diameter semicircles. A greyhound can run around these turns at a constant speed of 16 m/s .What is its acceleration in m/s^2?What is its acceleration in units of g?

Respuesta :

Answer:

In m/s^2:

a=11.3778 m/s^2

In units of g:

a=1.161 g

Explanation:

Since the racing greyhounds are capable of rounding corners at very high speed so we are going use the following formula of acceleration for circular paths.

[tex]a=\frac{v^2}{r}[/tex]

where:

v is the speed

r is the radius

Now,

[tex]a=\frac{16^2}{45/2}\\ a=11.3778 m/s^2[/tex]

In g units:

[tex]a=\frac{11.3778\ g}{9.8}\\ a=1.161\ g[/tex]