Here are examples with beta priors and binomial likelihoods. Suppose the prior distribution of the heads probability $\theta$ is $\mathsf{Beta}(10,10)$ and that $n = 100$ tosses of a coin yield $x = 47$ Heads. Then the posterior distribution of $\theta$ is $\mathsf{Beta}(10 + x, 10 + 100 - x) \equiv \mathsf{Beta}(57, 63).$ One could say that the prior distribution is 'effectively' equivalent to advance knowledge of $20$ tosses of the coin yielding 10 heads.