Question

TRIGONOMETRY
through what angle in degrees must the pendulum with 40cm. long be rotated to travel an arclength of 5cm.? TRIGONOMETRY
through what angle in degrees must the pendulum with 40cm. long be rotated to travel an arclength of 5cm.? @Mathematics

Answer 1

.125 radian= 7.16 degree (approx)

Answer 2

how?

Answer 3

the arc length is 5 cm, and the radius is 40 cm

the definition of the radian measure of an angle is
\[\frac{\text{ arc length }}{\text {radius }}\]

Answer 4

in your case it is
\[\frac{5}{40}=0.125\]

Answer 5

but the question asks for the angle measured in degrees, so you have to convert from radian measure to degree measure,and you do that by multiplying by 180 and dividing by
\[\pi\]

Answer 6

hmmm, thanks you:) im not that bad in math im just confused in terms of problem solving

Answer 7

therefore your answer is
\[0.125\times \frac{180}{\pi}\] and then a calculator to give the answer in decimal form

Answer 8

so, what is the unit of theta?

Answer 9

0.125 is the angle measured in radians

Answer 10

7.1619... is the angle measured in degrees, which is what you are asked for
here is the conversion
http://www.wolframalpha.com/input/?i=5%2F40+*180%2Fpi

Answer 11

im right:)) i get the same answer, im making myself confused.. THANK YOU

Answer 12

glad you got it