Student Question

Physics Lab

Image (1 of 1)

Expert Answers

An illustration of the letter 'A' in a speech bubbles

I am not going to do your experimental laboratory but I will answer the two following theoretical questions.


We know that a full circle has a circumference equal to:

`P =2*pi*R =R*theta`

where angle `theta` is measured in radians.

Since a full circle represents an angle at center of 360 degree, from the above relation for the circle circumference, it results that `2*pi` radians are equivalent to `360` degrees. Therefore `1` radian is equivalent to an angle in degree of:

`1 rad =360/(2*pi) =360/(2*3.1415927) =57.2958 =57.296 degree`

For `n` radians we have a corresponding angle measured in degrees of

`n (rad) =(360*n)/(2*pi) (degree) =n*57.296 (degree)`

Answer: 1 radian is equivalent to 57.296 degree


Since `2*pi ` radians correspond for `360` degree, for ` ``30 =360/12 degree`,  correspond `(2*pi)/12 =pi/6` radians.

The length of arc from a circle having radius `R=1.5 m` that corresponds to an angle` ` at center of

`theta= 30 degree =pi/6 rad` is

`L =R*theta =1.5*pi/6 =0.78540 m= 0.785 m`

(Again we should emphasize that in the above relation the angle theta is measured in radians).

Answer: the length of the path of the object on the circle is 0.785 m

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial