TipsQuestion textA wheel 20cm starts from rest and rotates about horizontal axis through the center with a constant acceleration of 0.5 radian/sec2. A point from the circumference is directly at the right of the center of the wheel. After the end of 2 seconds, find its radial acceleration.A. 10 cm/sec2B. 20 cm/sec2C. 18 cm/sec2D. 19 cm/sec2
Question
TipsQuestion textA wheel 20cm starts from rest and rotates about horizontal axis through the center with a constant acceleration of 0.5 radian/sec2. A point from the circumference is directly at the right of the center of the wheel. After the end of 2 seconds, find its radial acceleration.A. 10 cm/sec2B. 20 cm/sec2C. 18 cm/sec2D. 19 cm/sec2
Solution
To solve this problem, we need to use the formula for radial acceleration, which is given by:
a_r = r * α
where:
- a_r is the radial acceleration,
- r is the radius of the wheel, and
- α is the angular acceleration.
Given in the problem, we have:
- r = 20 cm = 0.2 m (we convert cm to m because the standard unit of acceleration is m/s²),
- α = 0.5 rad/s².
Substituting these values into the formula, we get:
a_r = 0.2 m * 0.5 rad/s² = 0.1 m/s² = 10 cm/s².
So, the radial acceleration of the point on the circumference of the wheel after 2 seconds is 10 cm/s². Therefore, the correct answer is A. 10 cm/sec².
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