How do you graph r=-5/thetar=5θ?

1 Answer
Jul 28, 2016

Drawing sense is clockwise. This keeps r > 0 and thetaθ radian < 0 decreases through negative values. Table for graphing of this spiral is given in the explanation.

Explanation:

r is kept positive by varying thetaθ (radian), through negative

values. This drawing is clockwise, thetaθ will decrease but increase

in magnitude.

For this spiral graph, smaller magnitude for thetaθ gives higher r. .

Table for plotting points (r, thetaθ radian) for the spiral:

Scale for r = -5/thetar=5θ: 1 mm = 1 radian = 57.3^o57.3o.

As a matter of convenience, thetaθ is entered in degrees

(r, theta ): ( 100 mm , -2.9^o ) ( 50 mm, -6.7^o) ( 10 mm, -28.75^o )(r,θ):(100mm,2.9o)(50mm,6.7o)(10mm,28.75o)

( 5 mm, -57.3^o ) ( 2.5 mm, -114.6^o ) (1 mm, -286.5^o) (0.5 mm, -573^o)(5mm,57.3o)(2.5mm,114.6o)(1mm,286.5o)(0.5mm,573o)

For conversion of thetaθ degrees to radian, divide by 57.3.