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Answer :
Life of 4 million cycles at a 90% reliability, increasing the reliability to 95% would likely involve reducing the number of expected life cycles. The specific number would depend on the reliability distribution of the part.
This question is about the concept of reliability in engineering design, specifically in the lifecycle design of a rocker arm. To understand this, it's important to know that reliability represents the probability that a system will perform its intended function without failure over a certain time period or number of cycles.
The question states that the rocker arm is designed to have a life of 4 million cycles, to a factor of two with 90% probability, and it also clarifies that we want a reliability of 95% for the rocker arm. Now, to increase the reliability to 0.95, we can use the method called 'factor of safety'. This would result in having a longer design life for the rocker arm.
Given that the life of the rocker arm is known to a factor of two with 90% reliability, this means that we can expect the rocker arm to last up to 8 million cycles with 90% reliability. If we want to increase the reliability to 95%, we would need to reduce the designed life cycles. The exact number of life cycles for a 95% reliability would depend on the specific reliability distribution of the part, which would include factors such as material, operation conditions, and more.
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