To find the arc length using radians, you can use the formula: Arc Length Radius x Angle in Radians. Simply multiply the radius of the circle by the angle in radians to calculate the arc length.
In physics, angular measurements can be expressed in both radians and degrees. Radians are the preferred unit for angular measurements because they directly relate to the arc length of a circle's circumference. One radian is equal to the angle subtended by an arc that is equal in length to the radius of the circle. In contrast, degrees are based on dividing a circle into 360 equal parts. The relationship between radians and degrees is that 1 radian is equal to approximately 57.3 degrees.
first thing you need to do is convert cm to meters. 6.00cm= 0.006m 24.0cm= 0.024m the rest i don't understand but this is how you get it right: 2(pi)(0.006)= arc length= 0.0376 something about the second hand taking 60 sec for one rev, so: 60*0.024/ 0.0376 = 38.3 seconds. that should work! good luck.
Usually radians per second. Any unit is appropriate, if it consists of (a unit of angle) divided by (a unit of time)
Angular displacement is measured in angles, usually degrees or radians. Especially when the unit radian is used, this unit is usually considered to be adimensional, since the radian is defined by the division (ratio) of two lengths: the length of an arc divided by the radius.
You can measure the length of a curved line by using a flexible measuring tape following the curve or by breaking it down into smaller straight segments and adding them up. Another option is to use a formula that calculates the arc length of a curve based on its equation and limits.
The arc length divided by the radius is the angle in radians. To convert radians to degrees, multiply by (180/pi).
you will need to know the angle subtended by the arc; arc length = radius x angle in radians
To find the measure of a central angle in a circle using the radius, you can use the formula for arc length or the relationship between the radius and the angle in radians. The formula for arc length ( s ) is given by ( s = r \theta ), where ( r ) is the radius and ( \theta ) is the central angle in radians. Rearranging this formula, you can find the angle by using ( \theta = \frac{s}{r} ) if you know the arc length. In degrees, you can convert radians by multiplying by ( \frac{180}{\pi} ).
The arc length is the radius times the arc degree in radians
The arc length is equal to the angle times the radius. This assumes the angle is expressed in radians; if it isn't, convert it to radians first, or incorporate the conversion (usually from degrees to radians) in to your formula.
In a unit circle, the arc length ( s ) is directly equal to the angle ( \theta ) in radians. Therefore, if the arc length of a sector is 3 radians, the measure of the angle of the sector is also 3 radians.
The length of an arc is the radius times the angle in radians that the arc subtends length = radius times angle in degrees times pi/180
To find the arc length given the radius and angle measure in degrees, you must first convert the angle from degrees to radians, using the formula: Degrees = Radians X (pi/180). Then take the radians and the radius that you are given, and put them into the formula of Q = (a/r) where Q is the angle in radians, a is the arc length, and r is the radius. When you have this, simple multiply both sides by the radius to isolate the a. Once you do this, you have your answer.
The answer depends on the information that you have. If the arc subtends an angle of x radians in a circle with radius r cm, then the arc length is r*x cm.
Just did this in my trig class yesterday. Arc length = radius * theta(radians) Circumference of Earth = radius of earth * 2pi Note: The arc length is the circumference of the Earth only in this case because theta is equal to 2pi.
you have a triangle formed by the radius on 2 and the chord on the other. the angle in that triangle that is opposite the chord, find its measure in radians take that measure (in radians) and multiply it by the radius to get the arc length
The length of the arc is equal to the radius times the angle (angle in radians). If the angle is in any other measure, convert to radians first. (radians = degrees * pi / 180)