In a single swing pendulum moves through an angle of 1.92 Radian.
(a). Determine the length of arc treated by the pendulum Bob.
(b). The area of the sector if the length of the pendulum is 13.2cm.
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To answer these questions, we need to understand the concepts of arc length and sector area.
(a) Arc Length:
The arc length is the distance along the circumference of a circle, measured in units such as centimeters or meters. It is denoted by 's' and can be calculated using the formula:
s = rθ
where:
s = arc length
r = radius of the circle
θ = angle (in radians) subtended by the arc
In this case, we are given that the pendulum moves through an angle of 1.92 radians. However, we need the radius to calculate the arc length. If you have the radius, substitute it into the formula along with the angle to find the arc length ('s').
(b) Sector Area:
The sector area is the region enclosed by an arc of a circle and the two radii that form the arc. It is denoted by 'A' and can be calculated using the formula:
A = (1/2) * r^2 * θ
where:
A = sector area
r = radius of the circle
θ = angle (in radians) subtended by the arc
In this case, we are given that the length of the pendulum is 13.2 cm. However, we need the radius to calculate the sector area. If you have the radius, substitute it into the formula along with the angle to find the sector area ('A').
Please provide the value of the radius so that we can calculate the arc length and sector area using the given values.