Question

object Travels at constant speed around a circle of radius one metre in one second what is the magnitude of its acceleration​

Answer 1

Answer:

What is the magnitude of the acceleration of an object that travels at constant speed around a circle of radius one meter in one second?

Dreaming of clearing CA?

The standard formula for acceleration of an object moving in a circle is

[math]a=\omega^2r=\frac{s^2}{r}[/math]

where [math]\omega[/math] is the angular velocity, [math]r[/math] is the radius, and [math]s[/math] is the speed.

In this case [math]\omega=2\pi\rm{rad/s}, r=1\rm{m}, s=2\pi\rm{m/s}[/math], so the magnitude of the acceleration (which is directed towards the centre of the circle) is

[math]a=4\pi^2\rm{m/s^2}[/math]

or answer (d) from the rather strange list of options.