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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman
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(a) What angle in radians is subtended by an arc 1.50 m

Chapter 11, Problem 1E

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QUESTION:

(a) What angle in radians is subtended by an arc 1.50 m long on the circumference of a circle of radius 2.50 m? What is this angle in degrees? (b) An arc 14.0 cm long on the circumference of a circle subtends an angle of 128o. What is the radius of the circle? (c) The angle between two radii of a circle with radius 1.50 m is 0.700 rad. What length of arc is intercepted on the circumference of the circle by the two radii?

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QUESTION:

(a) What angle in radians is subtended by an arc 1.50 m long on the circumference of a circle of radius 2.50 m? What is this angle in degrees? (b) An arc 14.0 cm long on the circumference of a circle subtends an angle of 128o. What is the radius of the circle? (c) The angle between two radii of a circle with radius 1.50 m is 0.700 rad. What length of arc is intercepted on the circumference of the circle by the two radii?

ANSWER:

Solution 1E Step 1: Data given Arc length s = 1.50 m Radius r = 2.50 m The angle is given by using s = r Thus we have = s/r Substituting values we get = 1.50 m/2.50 m = 0.6 × (180/) 0 = 34.37 0 Hence we have angle as 34.37

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