Question

Mrs. Byers is swinging a mass on a string above her head with a radius of 7 m. If she decreases the radius by a factor of 7, by what factor does the centripetal acceleration change?

Answer 1

Step-by-step explanation:

Given:

V₁ = V₂ = V

R₁ = 7 m

n = 7

R₂ = R₁ / n = 7 / 7 = 1 m

____________

aₙ₂ / aₙ₁ - ?

aₙ₁ = V₁² / R₁ = V² / 7

aₙ₂ = V₂² / R₂ = V² / 1 = V²

aₙ₂ / aₙ₁- = V² / (V²/7) = 7

Centripetal acceleration increased by 7 times