- #1
De_Dre01
- 16
- 0
Homework Statement
Homework Equations
αt = r α
The Attempt at a Solution
ωi = 0 rad/s
αt = 2.00 rad/s2
r = 112 m
θ = ? at a = 6.80 m/s2
I'm not exactly sure where to begin. Help is appreciated.
What is the relationship between tangential and radial acceleration?
- Thread starter De_Dre01
- Start date
In summary, angular acceleration is the rate of change of angular velocity over time, and is a measure of how quickly an object's rotational speed is changing. It differs from linear acceleration, which measures changes in linear velocity. Angular acceleration is typically measured in radians per second squared or degrees per second squared. It is directly proportional to torque and inversely proportional to the moment of inertia, and is calculated using the formula α = (ω₂ - ω₁) / t.
αt = r α
ωi = 0 rad/s
αt = 2.00 rad/s2
r = 112 m
θ = ? at a = 6.80 m/s2
I'm not exactly sure where to begin. Help is appreciated.
- #2
DuckAmuck
- 236
- 40
You have two kinds of acceleration here. Assuming the batmobile doesn't slip on the road as it's turning (radius being a constant), the two accelerations are perpendicular (one is tangential, and the other is radial (centripetal force). So you can add them like: aTotal^2 = aTang^2 + aRad^2.
One top of that, the radial acceleration is dependent on the tangential speed, so it's dependent on tangential acceleration.
One top of that, the radial acceleration is dependent on the tangential speed, so it's dependent on tangential acceleration.
1. What is angular acceleration?
Angular acceleration is the rate of change of angular velocity over time. It is a measure of how quickly an object's rotational speed is changing.
2. How is angular acceleration different from linear acceleration?
Angular acceleration is a measure of the change in rotational speed, while linear acceleration is a measure of the change in linear velocity. In other words, angular acceleration refers to changes in the object's rotational motion, while linear acceleration refers to changes in its straight-line motion.
3. What unit is used to measure angular acceleration?
Angular acceleration is typically measured in radians per second squared (rad/s²) or degrees per second squared (deg/s²).
4. How is angular acceleration related to torque?
Angular acceleration is directly proportional to torque and inversely proportional to the moment of inertia. This means that the greater the torque applied to an object, the greater its angular acceleration will be. Additionally, the greater the moment of inertia, the smaller the angular acceleration will be for a given torque.
5. What is the formula for calculating angular acceleration?
The formula for angular acceleration is α = (ω₂ - ω₁) / t, where α is the angular acceleration, ω₂ is the final angular velocity, ω₁ is the initial angular velocity, and t is the time interval over which the velocity changes.
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