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A car travelling at an acceleration of 2 metre per second square if the diameter of a car wheel is 50 centimetres the angular acceleration of the wheel is?
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A car travelling at an acceleration of 2 metre per second square if th...
A car is moving is moving from rest , it means intial angular speed of wheels , ω₀ = 0
wheels of car rotates 360 times per minute
means angular speed after 1 minutes , ω = 2πn/T = 2π * 360/60 rad/sec
ω = 2π * 6 = 12π rad/sec
Now, use formula
ω = ω₀ + αt
Here α is angular acceleration
Given, ω = 12π rad/s, ω₀ = 0 rad/s and t = 30 sec
∴ 12π = 0 + α * 30
α = 12π/30 = 2π/5 rad/s^2
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A car travelling at an acceleration of 2 metre per second square if th...
A car travelling at an acceleration of 2 metre per second square if the diameter of a car wheel is 50 centimetres the angular acceleration of the wheel is?
The angular acceleration of a wheel can be determined by relating it to the linear acceleration of the car and the diameter of the wheel. To calculate the angular acceleration, we need to follow a few steps.
Step 1: Convert the diameter of the wheel from centimeters to meters
The diameter of the wheel is given as 50 centimeters. To convert it to meters, we divide by 100 since there are 100 centimeters in a meter.
Diameter (m) = 50 cm / 100 = 0.5 m
Step 2: Calculate the radius of the wheel
The radius of the wheel can be obtained by dividing the diameter by 2.
Radius (r) = Diameter / 2 = 0.5 m / 2 = 0.25 m
Step 3: Calculate the linear acceleration of the outer edge of the wheel
The linear acceleration of the outer edge of the wheel can be obtained using the formula:
Linear acceleration (a) = Angular acceleration (α) x Radius (r)
In this case, the linear acceleration of the car is given as 2 m/s². Since the linear acceleration is the same for all points on the wheel, we can use this value to calculate the angular acceleration.
2 m/s² = α x 0.25 m
Step 4: Solve for the angular acceleration
To find the value of the angular acceleration (α), we rearrange the equation from step 3 and solve for α.
α = 2 m/s² / 0.25 m
α = 8 rad/s²
Therefore, the angular acceleration of the wheel is 8 rad/s².
The angular acceleration of a wheel can be determined by relating it to the linear acceleration of the car and the diameter of the wheel. To calculate the angular acceleration, we need to follow a few steps.
Step 1: Convert the diameter of the wheel from centimeters to meters
The diameter of the wheel is given as 50 centimeters. To convert it to meters, we divide by 100 since there are 100 centimeters in a meter.
Diameter (m) = 50 cm / 100 = 0.5 m
Step 2: Calculate the radius of the wheel
The radius of the wheel can be obtained by dividing the diameter by 2.
Radius (r) = Diameter / 2 = 0.5 m / 2 = 0.25 m
Step 3: Calculate the linear acceleration of the outer edge of the wheel
The linear acceleration of the outer edge of the wheel can be obtained using the formula:
Linear acceleration (a) = Angular acceleration (α) x Radius (r)
In this case, the linear acceleration of the car is given as 2 m/s². Since the linear acceleration is the same for all points on the wheel, we can use this value to calculate the angular acceleration.
2 m/s² = α x 0.25 m
Step 4: Solve for the angular acceleration
To find the value of the angular acceleration (α), we rearrange the equation from step 3 and solve for α.
α = 2 m/s² / 0.25 m
α = 8 rad/s²
Therefore, the angular acceleration of the wheel is 8 rad/s².
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A car travelling at an acceleration of 2 metre per second square if the diameter of a car wheel is 50 centimetres the angular acceleration of the wheel is?
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A car travelling at an acceleration of 2 metre per second square if the diameter of a car wheel is 50 centimetres the angular acceleration of the wheel is? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A car travelling at an acceleration of 2 metre per second square if the diameter of a car wheel is 50 centimetres the angular acceleration of the wheel is? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car travelling at an acceleration of 2 metre per second square if the diameter of a car wheel is 50 centimetres the angular acceleration of the wheel is?.
A car travelling at an acceleration of 2 metre per second square if the diameter of a car wheel is 50 centimetres the angular acceleration of the wheel is? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A car travelling at an acceleration of 2 metre per second square if the diameter of a car wheel is 50 centimetres the angular acceleration of the wheel is? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car travelling at an acceleration of 2 metre per second square if the diameter of a car wheel is 50 centimetres the angular acceleration of the wheel is?.
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