Suppose that point P is on a circle with radius r, and ray OP is rotating with angular speed w. Complete parts (a) through (c) for the given values of r, w, and t. r= 3 in., o = radian per min, t= 10 min (a) What is the angle generated by P in time t? e = radians (Simplify your answer. Type an exact answer, using T as needed. Use integers or fractions for any numbers in the expression.) (b) What is the distance traveled by P along the circle in time t? S = inches (Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (c) What is the linear speed of P? V = inches per minute (Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter67: Analysis Of Trigonometric Functions
Section: Chapter Questions
Problem 12A
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Suppose that point P is on a circle with radius r, and ray OP is rotating with angular speed w. Complete parts (a) through (c) for the
given values of r, w, and t.
r= 3 in., w =
radian per min, t= 10 min
(a) What is the angle generated by P in time t?
e =radians
(Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.)
(b) What is the distance traveled by P along the circle in time t?
S =
inches
(Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.)
(c) What is the linear speed of P?
V =
inches per minute
(Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:Suppose that point P is on a circle with radius r, and ray OP is rotating with angular speed w. Complete parts (a) through (c) for the given values of r, w, and t. r= 3 in., w = radian per min, t= 10 min (a) What is the angle generated by P in time t? e =radians (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) (b) What is the distance traveled by P along the circle in time t? S = inches (Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.) (c) What is the linear speed of P? V = inches per minute (Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.)
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