How Does Radius Change Over Time Relate to Torque and Newton's Second Law?

Thread starter gogeta234
Start date Nov 12, 2007
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Radius Relation Time

In summary, the relation between radius and time varies depending on the context and can be described by different equations or models. In physics, the relation is often represented by the equation r = r0 + vt, while in other fields, it may be more complex and involve various factors. The change in radius over time can be determined by the slope of the radius-time graph, with a positive slope indicating an increase in radius and a negative slope indicating a decrease. Studying the relation between radius and time allows for a better understanding and prediction of changes in different systems, and it can be measured through experiments, data collection, and analysis. However, there is no universal relation between radius and time, as it is influenced by external factors and may vary

Nov 12, 2007

gogeta234

i was wondering what a rate-change radius equation in terms of time (r(t)) relates to torque/Newtons second law\

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Nov 12, 2007

marcusl

Science Advisor

Gold Member

This question doesn't make much sense to me. Can you rephrase and expand?

Nov 12, 2007

Math Jeans

Are you asking for an equation that calculates the angular velocity due to a certain torque (without friction) with respect to time using Newton's second?

What is the relation between radius and time?

The relation between radius and time is dependent on the situation or context. In physics, the relation can be described by the equation r = r0 + vt, where r is the final radius, r0 is the initial radius, v is the velocity, and t is the time. In other fields, such as biology, the relation between radius and time may be more complex and may involve various factors.

How does radius change over time?

The change in radius over time can be determined by the rate of change or the slope of the radius-time graph. If the slope is positive, the radius is increasing over time, and if the slope is negative, the radius is decreasing over time. The magnitude of the slope also indicates the rate of change, with a steeper slope representing a faster change in the radius.

What is the significance of studying the relation between radius and time?

Studying the relation between radius and time allows us to better understand and predict changes in various systems. For example, in physics, studying the relation between radius and time can help us understand the motion of objects, while in biology, it can help us track the growth and development of organisms. This knowledge can also be applied in various fields such as engineering, medicine, and environmental science.

Is there a universal relation between radius and time?

No, there is not a universal relation between radius and time as it varies depending on the context. In different fields, there may be different equations or models that describe the relationship between radius and time. Additionally, the relation may also be influenced by external factors such as temperature, pressure, and other environmental conditions.

How can we measure the relation between radius and time?

The relation between radius and time can be measured through various methods, such as conducting experiments, collecting data, and analyzing graphs and equations. In physics, we can use tools such as rulers, calipers, and timers to measure the change in radius over time. In other fields, different techniques may be used, such as imaging techniques in biology or statistical analysis in economics.