A girl sits on a tire swing and is pushed in a circular motion by her father. Her tangential speed is 2.8 m/s and the girl travels in a circle with a diameter of 4.0 m. What is the girl's centripetal acceleration?

Respuesta :

R = D/2 = 4.0 / 2 = 2 m

a = V² / R = 2,8² / 2 = 7.84 / 2 = 3.92 m/s²



Answer:

[tex]a_c = 3.92 m/s^2[/tex]

Explanation:

tangential speed of the girl is given as

[tex]v_t = 2.8 m/s[/tex]

diameter of the circle is given as

[tex]d = 4.0 m[/tex]

so here the radius of the circle is given as

[tex]R = 2.0 m[/tex]

now we know that centripetal acceleration of the object moving in circle is given as

[tex]a_c = \frac{v^2}{R}[/tex]

[tex]a_c = \frac{2.8^2}{2}[/tex]

[tex]a_c = 3.92 m/s^2[/tex]