Here is a graph of speed vs time. If the object is moving to the east, which BEST describes the speed and velocity of the graph?
Group of answer choices Both speed and velocity are changing. The speed and velocity remain constant. The speed is constant and velocity is changing. The speed is constant and velocity is changing.
1 answer:
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Answer:
(a) 181.05 m/s²
(b) 13.2°
Explanation:
Given:
Radius of the circle (R) = 0.610 m
Angular acceleration (α) = 67.6 rad/s²
Angular speed (ω) = 17.0 rad/s
(a)
Radial acceleration of the ball is given as:
Plug in the given values and solve for . This gives,
Now, tangential acceleration is given by the formula:
Plug in the given values and solve for . This gives,
Now, the magnitude of total acceleration is given as the square root of the sum of the squares of tangential and centripetal accelerations. Therefore,
Plug in the given values and solve for total acceleration, . This gives,
Therefore, the magnitude of total acceleration is 181.05 m/s².
(b)
Angle of total acceleration relative to radial direction is given by the formula:
Therefore, the total acceleration makes an angle of 13.2° relative to radial direction.