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An object is traveling around a circle with a radius of 8 inches. If in 50 seconds a central angle of 1/7 radian is swept out , what are the linear and angular speeds of the object?

2006-09-25 14:46:39 · 2 answers · asked by Analiese C 1 in Education & Reference ➔ Homework Help

2 answers

Angular velocity is measured as the # of radians traveled per second.

ω is used for angular speed.
ω = 1/7 radians / 50 sec
ω = 0.002857 radians/sec

There are 2pi radians in a circle, and the circumference of the circle is d * pi = 16pi inches.
1 radian = circumference / 2pi = 8 inches
0.002857 radian = 0.0229 inches

v therefore equals 0.0229 in/sec.

2006-09-26 02:10:48 · answer #1 · answered by ³√carthagebrujah 6 · 0⤊ 0⤋

um.. HOLY COW YOU ARE SMART!

2006-09-25 21:47:58 · answer #2 · answered by psychstudent 5 · 0⤊ 1⤋