A particle is traveling counterclockwise in a circle of radius r = 2.65 m. At some instant in time, the particle is located by the angular coordinate α = 24.0°, the total acceleration has a magnitude of a = 15.5 m/s² and is directed at an angle ẞ = 20.0° with respect to the radial coordinate. Determine the following at this instant. (Express your answer in vector form.) (a) position vector 1 r = 2.42i + 1.08j m y B α x (b) velocity = −1.421 +5.7j × See if you can express the radial component of the acceleration in terms of the total acceleration and the angle ẞ. How is the radial component of the acceleration related to the tangential speed? How is the direction of the velocity related to the angular coordinate locating the position of the particle? Review how to write a vector in vector notation. m/s (c) total acceleration a= 15.461 +1.08j × What is the magnitude and direction of the total acceleration vector? Review how to write a vector in vector notation. m/s²
A particle is traveling counterclockwise in a circle of radius r = 2.65 m. At some instant in time, the particle is located by the angular coordinate α = 24.0°, the total acceleration has a magnitude of a = 15.5 m/s² and is directed at an angle ẞ = 20.0° with respect to the radial coordinate. Determine the following at this instant. (Express your answer in vector form.) (a) position vector 1 r = 2.42i + 1.08j m y B α x (b) velocity = −1.421 +5.7j × See if you can express the radial component of the acceleration in terms of the total acceleration and the angle ẞ. How is the radial component of the acceleration related to the tangential speed? How is the direction of the velocity related to the angular coordinate locating the position of the particle? Review how to write a vector in vector notation. m/s (c) total acceleration a= 15.461 +1.08j × What is the magnitude and direction of the total acceleration vector? Review how to write a vector in vector notation. m/s²
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Transcribed Image Text:A particle is traveling counterclockwise in a circle of radius r = 2.65 m. At some instant in time, the particle is located by the angular coordinate α = 24.0°, the total
acceleration has a magnitude of a = 15.5 m/s² and is directed at an angle ẞ = 20.0° with respect to the radial coordinate. Determine the following at this instant. (Express
your answer in vector form.)
(a) position vector
1
r =
2.42i + 1.08j
m
y
B
α
x
(b) velocity
= −1.421 +5.7j
×
See if you can express the radial component of the acceleration in terms of the total acceleration and the angle ẞ. How is the radial component of the acceleration
related to the tangential speed? How is the direction of the velocity related to the angular coordinate locating the position of the particle? Review how to write a
vector in vector notation.
m/s
(c) total acceleration
a= 15.461 +1.08j
×
What is the magnitude and direction of the total acceleration vector? Review how to write a vector in vector notation. m/s²
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