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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
the force at which
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "the force at which" is correct and usable in written English.
It can be used to describe the intensity or strength of a force applied in a specific context, often in scientific or technical discussions. Example: "The force at which the object was launched determined its trajectory and distance traveled."
✓ Grammatically correct
Science
News & Media
Alternative expressions(20)
the tolerance at which
the location at which
the level at which
the frequency at which
the moment at which
the timing at which
the kind at which
the angle at which
the event at which
the point at which
the stage at which
the speed at which
the time at which
the rate at which
the pace at which
the age at which
the conference at which
the tempo at which
the fire at which
the date at which
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
27 human-written examples
The women then returned to the lab, where researchers analyzed their form, foot-strike patterns and the force at which they hit the ground under three different running conditions — with regular running shoes, barefoot and while wearing the Vibram FiveFingers.
News & Media
This can greatly enhance the force at which they blow, and I've been told that föhn winds are probably what blew my tent into the lake last weekend at gusts up to 50 miles an hour.
News & Media
We found strong associations between the below ground structures of the plant and the force at which it experiences failure.
Science
They have a relatively large surface area in proportion to their weight, thus reducing the force at which they hit the pavement.
News & Media
Next, the team carefully stretched the miniature rope by exerting a force on the tip, enabling them to measure the force at which it broke.
Science & Research
A force thresholds (g) was defined as the force at which greater than a 60% (3 out of 5) response frequency for a von Frey stimulus was elicited.
Human-verified similar examples from authoritative sources
Similar Expressions
33 human-written examples
Synaptic excitatory and inhibitory conductances were computed as the EPSC or IPSC divided by the driving force at which the synaptic currents were recorded.
Science
To probe the strength of the motor-DNA interaction in the presence of different nucleotides, we pulled on single SpoIIIE-DNA complexes in a nucleotide-free buffer (Apo state, green), 1mM [ATPγS] (cyan), and 1mM [ADP] (orange) and measured the mean pull force, that is, the average force at which the tether ruptured.
Science
If a person is sliding along a nearly level slide, moving parallel to the ground, gravity would be pushing them down with the same force at which the slide is pushing them back up.
News & Media
Further, from the critical force at which the minimum in friction occurs we determine the asymmetry of the bistable landscape that controls uncoiling of the coiled coil.
Science
Alternatively, one could use a model to extrapolate the asymptotic force at which the muscle would eventually settle.
Science
Expert writing Tips
Best practice
When using "the force at which", ensure that the context clearly defines what is applying the force and what is receiving it. This improves clarity and prevents ambiguity.
Common error
Avoid using "the force at which" when you actually mean pressure. Force is a general term, while pressure is force applied over an area. If area is relevant, 'pressure' is more accurate.
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "the force at which" functions as a prepositional phrase, typically modifying a noun or verb. It specifies the intensity or level of force present during a particular event or condition. Ludwig AI validates this usage through numerous examples in varied contexts.
Frequent in
Science
75%
News & Media
15%
Wiki
5%
Less common in
Formal & Business
2%
Encyclopedias
1%
Reference
2%
Ludwig's WRAP-UP
In summary, "the force at which" is a grammatically correct and commonly used phrase that specifies the intensity of a force in a given scenario. As highlighted by Ludwig AI, it's prevalent in scientific and technical contexts, making it appropriate for formal writing. While alternatives like "the intensity of the force when" exist, "the force at which" maintains its relevance due to its precision and clarity. When using this phrase, ensure the context clearly defines the applier and receiver of the force. Although Ludwig AI confirms its validity, it is essential to not confuse it with related terms like 'pressure' to maintain accuracy.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
the intensity of the force when
Replaces "at which" with "when", focusing on the timing rather than just the force itself.
the magnitude of the force during
Substitutes "force at which" with "magnitude of the force" to emphasize the size of the force.
the strength of the impact when
Uses "strength of the impact" instead of "force" to highlight the effect of the force.
the power of the blow as
Emphasizes the "power" and uses "as" to introduce the condition.
the level of exertion when
Focuses on the effort or exertion applied rather than the specific force.
the degree of pressure exerted when
Uses "degree of pressure" to specify the type of force being applied.
the amount of stress experienced as
Replaces "force" with "stress" to highlight the internal reaction to the force.
the momentum at the point of
Shifts the focus to "momentum" rather than direct force.
the velocity of impact during
Concentrates on speed, an element that makes up a force
the mechanical strain at the moment of
Changes the perspective to mechanical strain and focuses on an instant
FAQs
How can I use "the force at which" in a sentence?
Use "the force at which" to describe the intensity or strength of a force in a specific context, often when detailing a measurement or a threshold. For example: "The force at which the material broke was significantly higher than expected."
What are some alternatives to "the force at which"?
You can use alternatives like "the intensity of the force when", "the magnitude of the force during", or "the strength of the impact when" depending on the specific context and emphasis you want to convey.
Is it more appropriate to say "the force at which" or "the strength with which"?
Both "the force at which" and "the strength with which" can be correct, but "the force at which" is typically used when referring to a specific, measurable force. "The strength with which" might be used more broadly to describe the general intensity of an action or impact.
What is the difference between "the force at which" and "the point at which"?
"The force at which" refers to the magnitude of physical exertion required for something to occur. "The point at which" refers to a specific moment or condition when something happens. For example, you might measure "the force at which" a bridge collapses, but describe "the point at which" the traffic becomes congested.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
84%
Authority and reliability
4.5/5
Expert rating
Real-world application tested