- #1

- 189

- 0

## Homework Statement

It is common to see birds of prey rising upward on thermals. The paths they take may be spiral-like. You can model the spiral motion as uniform circular motion combined with a constant upward velocity. Assume a bird completes a circle of radius 6.00m every 5.00s and rises vertically at a rate of 3.00m/s.

Part C: Find the direction of the bird's acceleration.

Part D: Find the angle between the bird's velocity vector and the horizontal

## Homework Equations

Acceleration radius = v^(2)/R

V=(2pi*R)/T

Acceleration radius = (4*pi^(2)*R)/T^(2)

## The Attempt at a Solution

I already found the speed of the bird relative to the ground

V=(2pi*R)/T= 2*pi*6.00m/5.00 sec = 7.54m/s

Vmagnitude= sqrt[(7.54m/s)^(2)+(3.00m/s)^(2)]

v=8.11m/s

I also found the magnitude of the birds acceleration

Arad.=v^(2)/R =(7.54m/s)^(2)/6.00m

a=9.48 m/s^(s)

Not sure how to go about the direction of acceleration though.